Is Reincarnation mentioned in the Bible?

No, but many have attempted to show that it is biblical over the millennia.

This is an ancient belief of many but in particular those of Indian (country) religions like Hindus and Sikhs. Modern believers in 'New Age' also adhere to some form of this as do some others. But The Bible never says the dead are reincarnated but rather that they 'sleep' awaiting their call to their Resurrection.