Cuphead’s developers took to NeoGAF to clarify some misunderstandings around the game. One of these involved a reader of NeoGAF who asked if the game was a “100 percent lifetime PC/Microsoft exclusive.” This led to the following responsee..
“Yes, this Cuphead game is exclusive to Xbox and PC (with Steam and Win10 versions at launch and a GoG release likely shortly after). There will likely be a Mac version down the road and possibly a Linux version beyond that (unless we lose our houses or whatever).”
So there you have it, Cuphead will not be coming to Playstation 4.