No, it teaches the immortality of the righteous at the time of “that age” that begins when Christ returns, beyond which there is at least one more age as per Eph.2:7 (comp. Eph.1:21), Lk.1:33, Rev.11:15, etc.
It’s speaking of the “that age” to come, which i interpret as beginning with the second coming of Christ & lasting through His millennial (1000 year) kingdom to the time of the great white throne judgement when the rest of the dead will be resurrected (Revelation 20):
Lk.20:34 And Jesus answering said to them, ‘The sons of THIS AGE do marry and are given in marriage, 35 but those accounted worthy to obtain THAT AGE, and the rising again that is OUT of the dead, neither marry, nor are they given in marriage; 36 for neither are they able to die any more — for they are like messengers — and they are sons of God, being sons of the rising again.
The “rising again that is OUT of the dead” (Lk.20:35) is the particular resurrection (called the “first resurrection”) referred to in Rev.20:1-6 and the “resurrection of the righteous” in Luke 14:14:
Lk.14:14 and you will be blessed, since they do not have the means to repay you; for you will be repaid at the resurrection of the righteous."
Rev.20:1 And I saw an angel come down from heaven, having the key of the bottomless pit and a great chain in his hand. 2 And he laid hold on the dragon, that old serpent, which is the Devil, and Satan, and bound him a thousand years, 3 And cast him into the bottomless pit, and shut him up, and set a seal upon him, that he should deceive the nations no more, till the thousand years should be fulfilled: and after that he must be loosed a little season.4 And I saw thrones, and they sat upon them, and judgment was given unto them: and I saw the souls of them that were beheaded for the witness of Jesus, and for the word of God, and which had not worshipped the beast, neither his image, neither had received his mark upon their foreheads, or in their hands; and they lived and reigned with Christ a thousand years. 5 But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection. 6 Blessed and holy is he that hath part in the first resurrection: on such the second death hath no power, but they shall be priests of God and of Christ, and shall reign with him a thousand years.
Not only will the righteous be resurrected, but also the unrighteous:
and come out–those who have done good to the resurrection of life, and those who have done evil to the resurrection of judgment.
and I have the same hope in God that they themselves cherish, that there will be a resurrection of both the righteous and the wicked.
Eventually even those unrighteous/evil/wicked will be raised, made alive/vivified in Christ & God will be all in all:
1 Cor.15:22 For even as, in Adam, all are dying, thus also, in Christ, shall all be vivified." 23 Yet each in his own ORDER: the Firstfruit, Christ; thereupon those who are Christ’s in His presence;" 24 thereafter the end(order), whenever He may be giving up the kingdom to His God and Father, whenever He should be nullifying all sovereignty and all authority and power." 25 For He must be reigning until He should be placing all His enemies under His feet. 26 The last enemy is being abolished: death. 27 For He subjects all under His feet. Now whenever He may be saying that all is subject, it is evident that it is outside of Him Who subjects all to Him." 28 Now, whenever all may be subjected to Him, then the Son Himself also shall be subjected to Him Who subjects all to Him, that God may be All in all.)
Jn.1:29 The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world.
Rom.5:18 Consequently, then, as it was through one offense for all mankind for condemnation, thus also it is through one just award for all mankind for life’s justifying." 19 For even as, through the disobedience of the one man, the many were constituted sinners, thus also, through the obedience of the One, the many shall be constituted just.