It is the belief that there is rebirth after death. To the best of my knowledge this belief is not supported by any portion of the bible, therefore, it is not biblical.
In some traditions, reincarnation is accepted and shown by some signs. For instance, when a baby is born with a similar mark on the body of a dead relation, they believe that the dead relation has come back. I view it as devil's way of misleading people into erroneous belief in reincarnation.
Some other people go into divination to know who has come back whenever a baby is born. The belief in reincarnation cuts across sexes, it could be male or female relative coming back after death. I consider it a false belief because in some cases, such belief has no impact in the life of people.
Lastly, it is not biblical because, it has no biblical records.