It just seems really unlikely at this point:
…PS4 players continue to wait for mods to arrive on the console, and there’s still no release date. Bethesda marketing executive Pete Hines said the PS4 mods program is currently under “evaluation” and doesn’t have a day for when it will be ready to go.
I’m not going to pretend that I have the slightest idea what the problems supposedly are, how to fix them, or what’s stopping those problems from being fixed. I am going to say that at this point I don’t know how many Playstation 4 people are going to care if Fallout 4 (MAD SUPER SALE THERE, FOLKS) gets mod support on it. That ship may have sailed.