That sounds like reincarnation to me.
From a Biblical standpoint, reincarnation is a false doctrine: “It is appointed for man to die ONCE, and after that to face the judgment” (Hebrews 9:27).
“The most famous case of alleged reincarnation is that of Bridey Murphy. In 1952 one Virginia Tighe was hypnotized. She reported details of a previous life in Cork, Ireland, as ‘Bridey Murphy.’ While supposedly hypnotized, she spoke in a distinct Irish accent that she did not have normally and described her life in Cork in great detail. Her case was reported as proof of reincarnation in Bernstein’s (1956) best-selling book, "The Search for Bridey Murphy." The case was thoroughly investigated several years later. It was discovered, however, that as a child, Mrs. Tighe had had a neighbor across the street who had grown up in Ireland and used to tell her stories about life there. The woman’s maiden name? You guessed it – Bridey Murphy. Further, it was revealed that Mrs. Tighe had been involved in a theater in high school and had ‘learned several Irish monologues, which she had delivered in what her former teacher referred to as a heavy Irish brogue.'” - Pseudoscience and the Paranormal, Terrance Hines
In some Hindu teachings, if a person is "bad" in the present life, they may well wind up as a protected 'temple rat" in the next life. Which begs the question: If one is a 'bad' temple rat in that life, do they further regress to a temple cockroach, with an infinite regression back to a corrupted amoeba? What's more, who was the first person on earth reincarnated from, and which power on earth or in heaven facilitates those supposed rebirths?
Reincarnation voids the necessity of Christ for salvation and eternal life. If one can simply 'live again,' then what is the need to believe in Jesus? Therefore, the idea of reincarnation is Satanic.
The Bible makes it clear that Satan has been around since before the Garden of Eden. He knows what occurred in the lives of such people as Alexander the Great, Cleopatra, Hitler, and every other person who has lived since the creation of mankind. It is certainly not a “reach” then to believe that he and / or his demonic spirits can place false memories of others into their thinking.
