Is there proof of paranormal experiences?

Scientifically, no. Most paranormal experiences are from anecdotal evidence, which can be observed as one of the least accurate forms of reference.

Many paranormal experiences can be explained by certain nerve endings firing in your brain to create an image so real you think that you have really seen it. Pilots who are put in the G-force test thing (where you're spun around and around in a bubble-shaped pod) often blackout and report 'near death experiences' but science can tell us that this is simply a product of the brain, not a paranormal experience.