Looking at special relativity (which gives a real geometry of space-time) which reduces to Newtonian mechanics when $v\ll c$, It seems that special relativity is possible without Newtonian mechanics. At least we have an explanation for things.
But is it the same for quantum mechanics? Is Quantum mechanics formalism possible without classical such?
It may seem to be opinion based but I just want to know what the current status of science tells us.
Edit: One more thing; is it possible to have a world that works in a quantum regime? Like we can assume a high-speed world where everything is working at a special relativity level. So that there is no approximation at all. Is the same is true for quantum mechanics? Do we not get into trouble with interpretation?