No. That's drawn unless Black blunders.
White can put his Knights at h4 and e3 intending to sac a piece for a second, third and fourth Pawn (take twice on f5 then fall back with the Knight, play f5 and take on g4) but Black can prevent the whole idea just by playing the Bishop to c8 while the Knights are moving into position for the sac.
Just had this game where we kept dancing our pieces around in the field because any capturing move would be instantly taken by a pawn. I did try that at one point when we were moving back and forth very fast to try and catch him off guard but no success. We just danced 3 pieces vs 2 pieces and ended up drawing (he declined earlier draw proposals)
so question is: was there any way this game could have actually continued into a win for 1 person without the other blundering significantly?