Many things in the creation wear out and die. Time, though, is not one of these. A clear reference in the Psalms explains that time does not end.
Does time end? No.
Several variations on this theme involve questions like, "Isn't there going to be an end of time?" Or this, "Time started, at some point, and will end also.". No.
The best scripture answer for this question is this:
26 Psalms 102:23-28 23בְּהִקָּבֵ֣ץ עַמִּ֣ים יַחְדָּ֑ו וּ֝מַמְלָכ֗וֹת לַעֲבֹ֥ד אֶת־ יְהוָֽה׃ 24עִנָּ֖ה בַדֶּ֥רֶךְ קִצַּ֥ר יָמָֽי׃ 25אֹמַ֗ר אֵלִ֗י אַֽל־ תַּ֭עֲלֵנִי בַּחֲצִ֣י יָמָ֑י בְּד֖וֹר דּוֹרִ֣ים שְׁנוֹתֶֽיךָ׃ 26לְ֭פָנִים הָאָ֣רֶץ יָסַ֑דְתָּ וּֽמַעֲשֵׂ֖ה יָדֶ֣יךָ שָׁמָֽיִם׃ 27הֵ֤מָּה׀ יֹאבֵדוּ֮ וְאַתָּ֪ה תַ֫עֲמֹ֥ד וְ֭כֻלָּם כַּבֶּ֣גֶד יִבְל֑וּ כַּלְּב֖וּשׁ תַּחֲלִיפֵ֣ם וְֽיַחֲלֹֽפוּ׃ 28וְאַתָּה־ ה֑וּא וּ֝שְׁנוֹתֶ֗יךָ לֹ֣א יִתָּֽמּוּ׃ (WLC)
26 Psalms 102:23-28 23He weakened my strength in the way; he shortened my days.
24I said, O my God, take me not away in the midst of my days: thy years are throughout all generations.
25Of old hast thou laid the foundation of the earth: and the heavens are the work of thy hands.
26They shall perish, but thou shalt endure: yea, all of them shall wax old like a garment; as a vesture shalt thou change them, and they shall be changed:
27But thou art the same, and thy years shall have no end.
28The children of thy servants shall continue, and their seed shall be established before thee.(KJV)
26 Psalms 102:23-28 23He weakened my strength in the way; he shortened my days.
24I said, O my God, take me not away in the midst of my days: thy years are throughout all generations.
25Of old hast thou laid the foundation of the earth: and the heavens are the work of thy hands.
26They shall perish, but thou shalt endure: yea, all of them shall wax old like a garment; as a vesture shalt thou change them, and they shall be changed:
27But thou art the same, and thy years shall have no end.
28The children of thy servants shall continue, and their seed shall be established before thee.(KJV/NC)
26 Psalms 102:23-28 23He weakened my strength in the way;
He shortened my days.
24I said, O my God, take me not away in the midst of my days:
Thy years are throughout all generations.
25Of old didst thou lay the foundation of the earth;
And the heavens are the work of thy hands.
26They shall perish, but thou shalt endure;
Yea, all of them shall wax old like a garment;
As a vesture shalt thou change them, and they shall be changed:
27But thou art the same,
And thy years shall have no end.
28The children of thy servants shall continue,(ASV)
26 Psalms 102:23-28 23¶ For they have weakened my strength on earth; they warned me of the shortage of my days. 24O my God, take me not away in the midst of my days; thy years are throughout all generations. 25Of old hast thou laid the foundation of the earth; and the heavens are the work of thy hands. 26They shall perish, but thou shalt endure; yea, all of them shall wax old like a garment; as a vesture, they shall fade. 27But thou art the same, and thy years shall have no end. 28The children of thy servants shall continue and their descendants shall be established before thee. (LAM)
26 Psalms 102:23-28 23when peoples gather together, and kingdoms, to worship the LORD. 24He has broken my strength in mid-course; he has shortened my days. 25"O my God," I say, "take me not hence in the midst of my days, thou whose years endure throughout all generations!" 26Of old thou didst lay the foundation of the earth, and the heavens are the work of thy hands. 27They will perish, but thou dost endure; they will all wear out like a garment. Thou changest them like raiment, and they pass away; 28but thou art the same, and thy years have no end. [ (Psalms 102:29) The children of thy servants shall dwell secure; their posterity shall be established before thee. ] (RSV)
26 Psalms 102:23-28 23In the course of my life he broke my strength; he cut short my days.
24So I said: "Do not take me away, O my God, in the midst of my days; your years go on through all generations. 25In the beginning you laid the foundations of the earth, and the heavens are the work of your hands.
26They will perish, but you remain; they will all wear out like a garment. Like clothing you will change them and they will be discarded.
27But you remain the same, and your years will never end.
28The children of your servants will live in your presence; their descendants will be established before you."(NIV)
26 Psalms 102:23-28
23He weakened my strength along the course.
He shortened my days.
24I said, 'My God, don't take me away in the midst of my days.
Your years are throughout all generations.
25Of old, you laid the foundation of the earth.
The heavens are the work of your hands.
26They will perish, but you will endure.
Yes, all of them will wear out like a garment.
You will change them like a cloak, and they will be changed.
27But you are the same.
Your years will have no end.
28The children of your servants will continue.
Their seed will be established before you.'(WEB)
26 Psalms 102:23-28
23He weakened my strength along the course.
He shortened my days.
24I said, 'My God, don't take me away in the midst of my days.
Your years are throughout all generations.
25Of old, you laid the foundation of the earth.
The heavens are the work of your hands.
26They will perish, but you will endure.
Yes, all of them will wear out like a garment.
You will change them like a cloak, and they will be changed.
27But you are the same.
Your years will have no end.
28The children of your servants will continue.
Their seed will be established before you.'(WEB/HNV)
26 Psalms 102:23-28 23For they have weakened my strength on earth; they warned me of the shortage of my days. 24Oh my God, do not take me away in the middle of my days; your years are throughout all generations. 25Of old you have laid the foundation of the earth; and the heavens are the work of your hands. 26They will perish, but you will endure; yes, all of them will wax old like a garment; as a vesture, they will fade. 27But you are the same, and your years will have no end. 28The children of your servants will continue and their descendants will be established before you. (BRB)
Stated clearly, God's years go on without end.
When we come into his kingdom, neither do ours.
The issue, that is soon to end, is the trap of time, which is death. Time brings each of us to death. Why? Simply because time passes, we age and die.
For those under the blood of Christ, this end of the body is not our end. We can live forever with him if we want. He certainly wants that. All we have to do is believe him and accept that he has offered that to each of us through his work on the Cross.
Recent Bible Time research has made quite clear that the Human Race is being developed into a member of God's family generally. The "1000 Generation" references that appear in the Old Testament are likely referencing a 19,000 year period when the race has not yet reached maturity and is not yet fit to fight in the Lord's army.
That 19,000 year period is structured symetrically about the Exodus from Egypt, 9,500 years from Adam. The race is currently passing through the events surrounding the millennium break at the year 13,000. For all practical purposes it is safe to say there is another 6,000 years of future history, and those 6000 years simply precede "adulthood" for Adam's race.
It is also quite safe to say that the return of Jesus is not the central focus of the New Testament account of our part of the age. The central focus is the general resurrection from the dead. The return of Jesus is part of a 20 year period when the dead shall be raised and the human race generally starts to get an adult mind. The thought that the return of Jesus is a punctual date when all will end is quite foolish. From the perspective of God's millennia this period will be fast, like a trumpet sounding. But, it still lasts 20 years.
People making choices about their lives should not think that since we're close to his return we should not do things "normal" in other parts of the age. This includes major choices like marriage, college and career. Indeed, Jesus returns in order to take over the reigns of a world government. He will then drive that government to the task of raising the dead. The more equipped you are at making that happen the better. You don't help matters by thinking or saying the nearness of Jesus' return stops normal life. It doesn't.