Egyptologists are almost unanimously certain that the ancient Egyptians did not believe in reincarnation; presumably, they had enough going on in the afterlife already. On the other hand, we do have ancient Greek reports of Egyptian belief in reincarnation or the “transmigration of souls.” Herodotus writes,
The Keeper of the Pharos Lighthouse
Glyn Hnutu-healh: History, Alchemy, and Me 