Not really,
Boxers can get cut while boxing with someone, that leaves a scar;
See Tyson Fury vs Wallin;
Otto Wallin leaves a scar on Tyson Fury.
Otto Wallin didn't knock down Tyson Fury at any point of their fight.
If he scored a Knock Down, he would get +1 point from the judges, but he didn't score any knock down.
Cutting your opponent and leaving a scar doesn't give you any extra point in boxing.
A simple real life example that suits for One Piece.