At a glance, I can't seem to find a source. Maybe I'm wrong about it being impossible.

It seems being in-feasibly cost prohibitive to do perfectly, may be more accurate. Distillation without filtration misses a lot of stuff. Reverse osmosis is just force-filtering; It is cost effective, and does a dang good job for the cost, but leaves small amounts of stuff, and other stuff bypasses it. Charcoal filtering gets most of the really bad stuff well, like the "forever chemicals." Yet it can't get every type of pollutant, so distillation gets the rest. Charcoal filtering isn't very cost effective, especially at municipal water volumes. Disposal of the leftover contaminated charcoal is quite a cost too. Plasma techniques are super new, but seem promising.