"Mi nem harcolunk."

Translation: We do not fight.

[ArchThorn]

Can "harcol" also mean "quarrel"?

[vvsey]

As in an argument? Not really. Couples sometimes fight, but they do not "harcolnak". They "veszekednek".
You can "fight for your right (or cause or whatever)", and for that you can say "harcolok az igazamért", etc. But not for direclty fighting with another person. In that sense, "harcolni" is more of a martial art.

[ArchThorn]

Thank you.