Yarr harr, I be believin' in the reincarnation o' ye souls. [/pirate]
Sorta, at least, but for me it's mostly because I believe in a higher power/gods/spirits/whatever you want to call them, but find the idea of a singular higher power unrealistic. Reincarnation seems to be a logical explanation. As has been stated, there is some evidence for reincarnation, especially in young children. I also belive that life is a learning process, and reincarnation works with that really well.
But I also figure I don't know much about it. I mean, maybe when I die, I'm instantly reborn, or maybe when I die, I wait twenty years to be born. Perhaps their are multiple planets with life I may be reborn on. Maybe there are multiple dimensions. Maybe I die, and come back to a universal hub, and chill with me homies for twenty years, and then decide to be reincarnated on a different planet.
So although I generally belive in higher powers and reincarnation, I don't follow a strict belief system.