Of course! This is the daily choice for all believers, and our biggest struggle. The Apostle Paul describes this battle between our earthly flesh and the Spirit of God in Romans Seven.
Do you ever sin against God? Do you ever need to seek His cleansing? Me? I am a "filthy, rotten, sinner", and find that I need to go to Him often in confession. I have discovered that every second not yielded to Him is an offense against Him.
"Is there a possiblity that someone who is "regenerated" will not become "glorified?""
Absolutely not.
So, the unregenerated cannot choose God.
The regenerated (as chosen by God) can displease God, but cannot "not" choose God (become glorified).
Where's the choice?