No, there are two different manifestations of the adoption described in the Bible : 1) an adoption unto the becoming of the spiritual sons of God, 2) an adoption by God unto our new physical bodies; I.E, a spiritual adoption and a bodily adoption. Both adoptions resulting from being singly predestinated through Christ.
[1Jo 3:2 KJV]
2 Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is.
[Rom 8:23 KJV]
23 And not only [they], but ourselves also, which have the firstfruits of the Spirit, even we ourselves groan within ourselves, waiting for the adoption, [to wit], the redemption of our body.
[Rom 8:15 KJV]
15 For ye have not received the spirit of bondage again to fear; but ye have received the Spirit of adoption, whereby we cry, Abba, Father.
[Gal 4:3-7 KJV]
3 Even so we, when we were children, were in bondage under the elements of the world:
4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
5 To redeem them that were under the law, that we might receive the adoption of sons.
6 And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father.
7 Wherefore thou art no more a servant, but a son; and if a son, then an heir of God through Christ.
[1Jo 3:2 KJV]
2 Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is.
[Rom 8:23 KJV]
23 And not only [they], but ourselves also, which have the firstfruits of the Spirit, even we ourselves groan within ourselves, waiting for the adoption, [to wit], the redemption of our body.
[Rom 8:15 KJV]
15 For ye have not received the spirit of bondage again to fear; but ye have received the Spirit of adoption, whereby we cry, Abba, Father.
[Gal 4:3-7 KJV]
3 Even so we, when we were children, were in bondage under the elements of the world:
4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
5 To redeem them that were under the law, that we might receive the adoption of sons.
6 And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father.
7 Wherefore thou art no more a servant, but a son; and if a son, then an heir of God through Christ.