The knife guy is in trouble mainly due to his having a shorter reach. Especially if the stick guy is trained in Escrima/Arnis (which usually includes knife fighting also so he'd be familiar with the knife guy's tactics).
The stick(s) can be used to block, hit and even capture/lock-up the knife hand/arm and disarm the knife guy...but if the knife guy ALSO knows Escrima/Arnis, he would know the stick guy's tactics, too, and take evasive action.
Still, due to reach I'd say the stick guy has the edge.
-- John D.