As you may know there are many books where people have said they had been in hell and in heaven, and that even Jesus guided them. And that sounds a lot like Divine Comedy.
I'm pretty sure that's not true, because there are several parts of the Bible that do not fit with their stories, and also I don't believe that God would like to make us experience Hell:
For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life. For God did not send his Son into the world to condemn the world, but in order that the world might be saved through him. Whoever believes in him is not condemned, but whoever does not believe is condemned already, because he has not believed in the name of the only Son of God. — [John 3:16-18 ESV]
Anyway, the only one who had been in hell and heaven was Jesus; this is what he said to Nicodemus in all the gospels. Also in the story of the rich man and Lazarus, Abraham told to the rich man:
He said to him, "If they do not hear Moses and the Prophets, neither will they be convinced if someone should rise from the dead." — [Luke 16:25 ESV]
So, what biblical passages are used to support the idea that living people can experience hell and heaven?
It would really be helpful if you can give some Bible verses that talk more about the subject. I have been using the Nelson's Bible dictionary to understand more about it, which I recommend because it gives a list of related verses.