I already brew my own beer. I could certainly ferment my own mash. I am a chemist, so I have all the confidence in the world that I could design and safely operate my own still. I don’t want to sell the product any more than I would want to sell my beer. I just like to experiment with these sorts of things. What sort of legal hoops would I have to jump through to make this happen?
You will never ever be allowed to distill your own alcohol legally. You might as well ask, “Can I grow my own grass, it’s cheap and easy.” If I bothered, I could find a cite.
Never say never. If you jump through all the necessary hoops, obtain the necessary licenses and pay the necessary fees and taxes, you can distill your own hooch: