Does any chirality-dependent inorganic chemical reaction exist? In the particle physics, there are non mirror-symmetric reactions.

In the organic chemistry, particularly in complex proteins, there are reactions producing only a single chirality of molecules.

But what is in the intermediate regime? Does any inorganic chemical reaction exist with an asymmetric chirality behavior?

I suspect, maybe it would be possible with highly asymmetric electron clouds, probably with a significant EM octopole moment.
A crystalline form of silicon dioxide known as α-quartz is optically active and can spontaneously crystallize in one of the two optically active form. However, which one of the two you get is defined purely by chance.

This, however, is different from "asymmetry" in particle physics, see here for details.