Yes, it is possible for a crumpled sheet of paper to have dimensions between 2 and 3 because in its normal state of flatness, it is theoretically 2-dimensional, however the crumpling breaks the barrier into the 3rd dimension without fully crossing over.
(a crumpled sheet of paper; to have; dimensions between 2 and 3) (it; is; theoretically 2-dimensional, however the crumpling breaks the barrier into the 3rd dimension without fully crossing over; L:in its normal state of flatness)
a crumpled sheet of paper it
to have is
dimensions between 2 and 3
theoretically 2-dimensional, however the crumpling breaks the barrier into the 3rd dimension without fully crossing over L:in its normal state of flatness