Surely there are things that are strictly possible, like, anything that's already happening. Motorboats are strictly possible.
Maybe some things are strictly impossible, like, squaring the circle. There may be some things that are impossible but that we will never know.
In between these two realms are ideas that can be suggested without evidence but yet taken quite seriously. Many of these things require overturning bodies of knowledge that are presently considered to be pretty robust, or developing entirely new ways of thinking. Some are contradictory to other things residing at the same level of possibility. Terms such as "magic" are divisive and don't seem to capture the essence.
The next question is whether an in-between level of possibility serves any useful purpose, and if it's distinguishable as a unique condition. Or, as a practical matter, whether it can be lumped in with things that are strictly impossible. How does my life change if the things that can be suggested without evidence deserve a category different than strict impossibility?