In a word, no. With full flaps and adequate flying speed, the rudder of a 172, and any other certified 'plane, is effective to maintain directional control.
Thanks for the info! Appreciate your time.
What would you have done, let's say you encounter this situation of aircraft veering sharply off the runway?
Situation: While rounding out, you kick in a little left rudder to track centerline and after touching down,you immediately apply full power but forgot to raise flaps up fully and the aircraft suddenly veered left sharply.