Sure, but that seems like a conversation more suited for metaphysics than science. Before we can even formalize reincarnation into an empirically observed process, we have to state what we're even observing. What measurements will tell you about consciousness? What are the relations (mathematical or otherwise), that can be used to experimentally verify consciousness? Is consciousness an amount? An ordering? Is it an object? If so, is it simple or composite? Are quanta of consciousness unique or indistinguishable? Is it an emergent phenomenon, or is it foundational? These questions need to be addressed, if a scientific study about consciousness is to be constructed. All I've heard from people talking about consciousness in the spiritual sense don't specify enough to give a useful account of how to formally define it, so that it can be observed and experimentally measured.

I don't think a metaphysical account of consciousness and the general concept of things turning into other things is rigorous enough to be able to test or observe. Also, I feel we should be very careful about the wording of "scientific fact". In my experience, anything that I've come to know as "scientific fact" has always had counter-examples and nuances which arents addressed in the statement of the "fact".