To me the pink fog is merely an urge/desire/need to do something that's harmless and legal, even if society as a whole disapproves. Dysphoria, as I understand it, is experiencing distress or confusion as to what gender/sex one is. If I'm wrong feel free to correct me. So no, IMO they're two very different things. I get the pink fog to some degree quite often, but I've never ever questioned whether I am or should be a male or female (or something else).
Carla explained it quite well, I think.
