No, because in the end of Doom 64 he got stuck in Hell for the rest of eternity. The only explanation I can think of for him becoming the Slayer (who isn't just a normal human) would be all the soul orbs he pretty much ate
not only that, he is the one that is being a real GSF Og while sweet straight up tried to do drugs given by a CRACK WH0RE on his own gang territory, HQ, and his own HOUSE