Re John 6:44&64-65: When Christ was crucified he drew everyone, but everyone has the ability to ignore or resist God’s grace.
(1Tim. 2:3-4, Matt. 13:14-15, 23:37, John 3:16-18).
No. Only those drawn by the Father will be raised up on the last day. In Jhn 17:2, we are explicitly told who those of Jhn 6:44 are: those whom the Father gives to Christ, past, present, and future; to them alone He gives eternal life.
It is not open-ended that someone can give it to themselves. In 17:9 we are informed that Jesus did not pray for the world, but only for those explicitly given to Him by the Father.
[Jhn 17:1-3, 9 KJV]
1 These words spake Jesus, and lifted up his eyes to heaven, and said, Father, the hour is come; glorify thy Son, that thy Son also may glorify thee:
2 As thou hast given him power over all flesh, that he should give eternal life to as many as thou hast given him.
3 And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent. ...
9 I pray for them: I pray not for the world, but for them which thou hast given me; for they are thine. ...