How can God punish anyone for being chosen to go to hell?
What Calvin actually teaches is that all humans since Adam are condemned already because of Adam's rebellion against God. God would be quite just and righteous if He had stood back and done nothing.
We have religious tree-huggers who go on about God being a God of love, and yet they ignore that He is a God of justice as well. They don't realise that sinners are saved because of God's unmerited mercy and grace, in that He sent His own Son to suffer and die on the Cross. Then He commissioned Gospel preachers by filling them with the Holy Spirit, giving them the ability to preach the Gospel with power.
Adam brought sin and death into the world through his disobedience and rebellion against God. Because of this, every action of human beings, even though morally good, is evil in His sight.
But God initiated His plan of salvation. The first step for humans is to believe the Gospel. That is why the Gospel is preached, so that people will believe it. Once someone believes the Gospel, it becomes the power of God that leads to their salvation.
If a person decides not to believe the Gospel, they remain lost and on the way to hell. God never has to send anyone to hell who is already on the way there anyway because of their disbelief of the Gospel.
Therefore at the judgment, no one can blame God for allowing anyone to be lost if they do not obey the Gospel. Even for those who have never heard the Gospel, the creation around the person would be evidence that there is a God who designed it all, and the awareness of that is built into every person's conscience. Therefore, if that person, in spite of seeing the creation around them continues to neglect seeking the God who designed it, has no one to blame but him or herself.
The bottom line is none of us have any right to be saved and to enter heaven. Some have the mistaken idea that God has some obligation to us and that He should bend over backwards to get us saved because we want to go to heaven. God is no respecter of persons, and there are no people with special rights to salvation over and above anyone else.
God chooses for salvation those who believe and obey the Gospel, period. Calvin taught that clearly. It is just that some religious tree-huggers insist on reading into Calvin what they think he taught, instead of what he actually taught. They are like the clay that tries to tell the Potter how to form them.