Do human beings have free will?
Christianity has been debating this point since its inception. It has been said that Calvin was an Augustinian. (Or rather, reversing the timeline, Augustine was a Calvinist.)
I've also heard it argued that even Calvin wasn't a five-pointer.
From here, I'll be more general rather than attributing absolute positions to Calvinists and Arminians (after Jacobus Arminius).
In any case, both free-will and non-free-will positions are argued. From the non-free-will perspective, the idea of free will is counter to God's absolute sovereignty. A true choice, it is argued, precludes God's omniscience. The concept of grace as articulated by Paul along with his use of words like election (no democracy this--only God votes) along with some vessels are made for glory and others for destruction bolsters the non-free-will argument.
OTOH, various verses command our obedience which seems meaningless if there is no choice involved. The great commission is senseless if all the electing is already done. Paul saying to the jailer, "believe on the Lord Jesus Christ" sounds like an optional thing. Also we could mention Felix who said "almost persuaded."
So a strict five-point Calvinist would say that there is no choice. Only God votes. And some are predestined for hell. If one is elected to heaven, nothing will change that.
OTOH, I've personally know Christians who believe that every choice is pertinent such that every wrong choice severs our relationship with God and if we die in such a state we go to hell. For Catholics, the question of dying unshriven arises. I am unclear whether that means that one goes to purgatory given that one was a Christian, or whether one necessarily ends up in hell.
The group of Christians I grew up with believed in OSAS (once saved always saved) but maintained that belief in God was free choice.
Here I've conflated some issues. But mostly the idea of free will or not goes hand in hand with salvation issues within Christian theology.
Short answer: Christian theology doesn't inherently require one position or the other. Various Christians hold a range of views along a sliding scale.