Fight不仅有“打架”的意思，还有“吵架”的意思。
Situational Dialogue 1
A: What happened to you?
B: Lisa and I had a fight yesterday.
(如果想表示“大吵一架”，就用have a huge/major fight)
Situational Dialogue 2
A:He’s fighting.
B:It’s hard for him to be a non-drinker.
(fighting表示“在挣扎”)
Complement:
1.Fight a losing battle打一场没有希望获胜的仗
I’m fighting a losing battle with my weight. I can’t lose any.
2.fight your own battles靠自己的力量获胜（或者达到目的）
I wouldn’t get involved—he’s old enough to fight his own battles.