Exactly, an elected person is not able to reject Jesus. It's not possible. One cannot be chosen and predestined to salvation and then reject Him.... "He forever saved those that come to Him.."
King James Bible
Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them." Hebrews 7:25
Jesus Christ saves His People from their sins, meaning He saves them from unbelief and their enmity towards Him and His Holy Gospel.
This is so vividly Illustrated for us in the conversion of saul of tarsus. Who can deny that he at first rejected and hated Christ and the saints of God !
Paul testifies that while doing those things against Christ He was an unbeliever 1 Tim 1:
13Who was before a blasphemer, and a persecutor, and injurious: but I obtained mercy,
because I did it ignorantly in unbelief.
But our [ the chosen ones] unbelief does not thwart Gods saving purpose for us, regardless of Paul's unbelief, he had before the foundation been chosen to be a vessel of God for the preaching of the gospel acts 9:
15But the Lord said unto him, Go thy way: for he is a chosen vessel unto me, to bear my name before the Gentiles, and kings, and the children of Israel:
Jesus did not just then decide that Paul was a chosen vessel unto Him.
Paul's works of ministry were ordained beforehand eph 2:
10For we are his workmanship, created in Christ Jesus unto good works,
which God hath before ordained that we should walk in them.
And God does not before ordain anything in time, but His counsels and decrees are from old.
So, now that it was time for Paul to fulfill his work for the Lord, He must become a believer. And so God bestowed grace upon Him with Faith and Love for Christ, vs 14
14And
the grace of our Lord was exceeding abundant with faith and love which is in Christ Jesus.
Paul was enabled
to believe on Christ through Grace that was abundant to him.
Thats why Paul can say some believe by or through grace acts 18:
27And when he was disposed to pass into Achaia, the brethren wrote, exhorting the disciples to receive him: who, when he was come, helped them much
which had believed through grace
And God has given us Paul's conversion experience here, that it may serve us as an example, on How all the elect come to believe unto everlasting life vs
16Howbeit for this cause I obtained mercy, that in me first Jesus Christ might shew forth all longsuffering,
for a pattern to them which should hereafter believe on him to life everlasting.
Paul as an elect of God, chosen in Christ before the foundation, having already been ordained unto good works of ministry and apostleship before, and in unbelief, God shows Him mercy and changes his unbelief into Faith, and his hatred of Christ into Love.
and Finally, Paul says in light of this tremendous testimony, that Christ came to save [ not to possibly save] sinners, of which he was chief. 1 tim 1:
15This is a faithful saying, and worthy of all acceptation,
that Christ Jesus came into the world to save sinners; of whom I am chief.
He came to save sinners [as himself] who were ignorant and in unbelief vs
13Who was before a blasphemer, and a persecutor, and injurious: but I obtained mercy,
because I did it ignorantly in unbelief.
So, if one dies in unbelief today, or Christ comes back and you are still in unbelief, it means that Christ did not come to save you in the first place, because if He did, He would save you , along with your other sins, from unbelief !
Thats Gospel.