####Could be, but it makes no difference in the methodology or findings of science. Science, for very good reasons, does not insert entities into the chain of causation that add nothing to the explanation.####
Nor does it prohibit the consideration of them. Nor would science be rendered any less valuable by the existence of God and His involvement in things.
Would it be proper for a federal judge to ban discussion of life in other galaxies in the public schools? How about parallel universes?
This is where you are flat out wrong. God presumably has no limits to His scope or method of operations, and scripture tells us his motives are unknowable. This is death to science, where the goal is to find the knowable, consistent, unchanging attributes of the world. No one assuming divine intervention could do any science at all.
Folks like Isaac Newton assumed God started the world and left the machinery untampered, except perhaps for an occasional miracle.
But cosmology, geology, physics and biology are ongoing, not occasional. If you believe the processes of biology are subject to whimsical fiddling, you cannot do science.