While the Bible never addresses reincarnation specifically, it is clear that the biblical model of life, death, and afterlife is incompatible with any form of reincarnation as posited in religions such as Hinduism, Buddhism, and certain New Age or Neo-Pagan belief systems. In Hebrews 9:27-28, we are told that “just as it is appointed for man to die once, and after that comes judgment, so Christ, having been offered once to bear the sins of many, will appear a second time, not to deal with sin but to save those who are eagerly waiting for him.” This passage alone appears to eliminate the possibility of remembering past lives/reincarnation.
But what are we to do with those who claim they have memories of their past lives/reincarnation experience? The first and perhaps most important question we should ask is whether or not these “memories” are genuine. Human memory is notoriously unreliable (just ask any lawyer or detective), and people frequently misremember things, believing they remember things that never actually happened or not remembering things that did happen. In the case of those claiming to remember their past lives, one can easily imagine them misremembering images from TV shows or movies, mental fantasies from books they read years earlier, or mistaking dreams for genuine memories.
The fact of the matter is that there is simply no solid, scientifically acceptable evidence that the memories of past lives claimed by some people are genuine, rather than misremembered events or simply make-believe. Ultimately, the question comes down to whether we will find truth in the unreliable minds and memories of fallen and fallible human beings or from the timeless, holy Word of God. Christians can confidently assert that reincarnation is not a possibility for the human soul; when this life ends, our eternity in the afterlife begins.