By definition, 'supernatural' or 'paranormal' cannot exist in any way,shape, or form that could ever be determined scientifically. If it were determined scientifically, by definition it would be 'normal'. Some say, within this universe, but M-theory seems undecided on that question with its' multiverse
-- p-brane -- conjectures.
Therefore, for 'supernatural' to exist, and effect/affect this universe, you must be a dualist, and goddidit (outside of laws of physics as we will ever know them). In my mind that position is logically indefensible, albeit unprovable one way or the other. Your rational alternative is to choose your monism -- its' all 'material & physical', or its' all 'not-physical', which some would call 'mind'.
Good. It's too bad our scientists' haven't bothered to when they make inane statements like "Science is not inimical to Religion.".