There are good fighters out there- boxers, wrestlers, regular martial artists, etc. Even average joe on the street can be a good fighter. Martial arts, on the other hand, isn't all about fighting. You learn to defend yourself (basically escapes and such), then you have sparring- which isn't always seen as "streetwise" for certain circles. It depends on how well you carry yourself, how you handle each situation and get out of it that makes a good martial artist. It all comes down to you as a person. So yes, I think you can be a good martial artist and not a good fighter.