He could win bullet. No increment means his years of streaming bullet will let an edge when moving in the endgame, so he just needs to draw out the game long enough to get Carlsen either to 0 or in trouble. Somehow we got a chess format where mechanics matter :)
His record in bullet in the Speed Chess Championship against Carlsen is rather unremarkable, although that is 1+1. Perhaps he would fair better at 1+0.