No.  If not 51% of nodes COLLUDE to be dishonest IN THE SAME WAY.  As there is only one way to be honest, and there are 100 ways to be dishonest, the dispersion of the dishonest systems makes that they can only settle on being honest, after all, because otherwise, they get nowhere.

The point is if 100% of node are greedy cheating bastards as in sociopathic theory, the system doesnt work.