I don't believe science takes a position on unprovable phenomena, other than the default position of "If it can't be proven, even in principle, then you're going to have a really hard time convincing me of it."
Oh, absolutely, including giving you hallucinations, false memories, and an absolutely convincing feeling you had a past life. Heck, as transgender people, we're all keenly aware of the power the brain has over you... if you have a female brain, you'll never get rid of the desire to present as female no matter how hard you try.
I really think that belief in supernatural phenomena is nothing more than an unintended consequence of the software we have running our brain. I'm also fully aware that the awesome power of the brain to create its own reality means that whatever I say will make no difference to those who do believe in the supernatural, so I guess we'll have to agree to disagree.