would front end damage occur fromhitting a curve with the rear left side of car
I'm thinking you mean 'curb' in place of 'curve'. Either way with the flimsy information given, I would say 'no'. There has to be more to the story and the answer might change to 'maybe' or 'yes'.
Why? is the "car" (not tellin' us) not drivin' in a straight line anymore? It is best to familiarize your dimensions of the car...or is it a truck? that way you'll know what to hit.