If we were given only one chance to live and to die, then there's nothing like reincarnation because in reincarnation, we are going to die many times and reborn many times.
Reincarnation is not in the bible and it's not part of the christain doctrine.
Hinduism believe in rebirth, they see reincarnation as a way of discarding worn out clothes and putting on new ones, meaning that the souls discard worn out bodies and wears new bodies. If that's the truth, what we must experience now is to meet people who are better than they were in the past years ago. We should not be living in a world full of evil people if reincarnation is true.
The book of II Timothy 3:1-4 teaches us the signs and things that will show the end of time, people will grow evil than the way they were before and all forms of abominable acts will start happening to show the last days. So reincarnation is not biblical. Lets not believe in things that doesn't exist, because believing in such will make us to go against the will of God.
God bless you all