Think it’s possible for reverse osmosis to play a part in spirit manufacture, but not in the way set out in the OP - one membrane separating alcohol and volatile flavoursome organics from water and heavy organics sounds like magical thinking.
You can separate water from ethanol using reverse osmosis, although I am not sure the membranes are developed to the point where they’re available as a consumer product. So if you had a crude distillate that was free of heavy organics, it might be possible to concentrate it by water removal in this fashion.
I suspect, though, that the membrane is just one part of the process and that you’d need some engineering to effectively separate the water (e.g. re-circulation methods, prevention of back-diffusion etc), so more of an industrial process than one for the home enthusiast. That this doesn’t currently happen in, say, grain whisky manufacture (largest distilling operation in Scotland), despite the large energy costs incurred through distillation, suggests that it’s not viable with current materials.