Of course. The two males I have are about as passive as you can imagine. It's the females that always get into fights. Particularly the oldest and biggest one VS. the smallest and youngest one. No, the bigger one doesn't pick the fights either - she's defending herself.
A few days ago, I went to let them outside after getting out of bed, and the smaller one attacked the bigger one at the back of her head. Naturally, I picked up the small pooch to put an end to that fight, but the other dog (also going blind) turned on me and mauled my arm, thinking it was the other dog.
That's twice in three weeks between the same two dogs.
Fun.