no He did not, He specifically chose IsaacGod chose all of Adam's descendants.
Gen 17:21 But my covenant will I establish with Isaac, which Sarah shall bear unto thee at this set time in the next year.
and the proof of that was the Lord agreed with Sarah to cast out Hagar and her son Ishmael
Gen 21:9 And Sarah saw the son of Hagar the Egyptian, which she had born unto Abraham, mocking.
Gen 21:10 Wherefore she said unto Abraham, Cast out this bondwoman and her son: for the son of this bondwoman shall not be heir with my son, even with Isaac.
Gen 21:11 And the thing was very grievous in Abraham's sight because of his son.
Gen 21:12 And God said unto Abraham, Let it not be grievous in thy sight because of the lad, and because of thy bondwoman; in all that Sarah hath said unto thee, hearken unto her voice; for in Isaac shall thy seed be called.
and in the case of Jacob and Esau:
Mal 1:2 I have loved you, saith the LORD. Yet ye say, Wherein hast thou loved us? Was not Esau Jacob's brother? saith the LORD: yet I loved Jacob,
Mal 1:3 And I hated Esau, and laid his mountains and his heritage waste for the dragons of the wilderness.
so no you're incorrect and maybe you should get the basics of what scripture states before you post.