Yes, squabbles will happen. I have even seen one hen sitting on top of another holding her head to the ground. Just like a rooster mounting a hen. It's a "I'm the boss" technique.
When I had my very first flock of mixed breeds of hens, in the before time, long, long ago.
Well, the number one hen (of 9) was a Light Brama. She was a huge hen who ate a lot, laid very little, and walked around being very important. Well. She was hit on the road and the flock went through a new pecking order arrangement. Her second in command at that time was a Silver-Laced Wyandotte named Flash. Flash took control of the flock with an iron wing. Two nights after Snowballs' demise I watched Flash standing at the coop door pecking each and every hen as they walked in the coop for the night. It was just the funniest thing.
The following year I added 6 new girls and Flash was the leader to keep the new girls out and away. Of the 6, 5 didn't have any problem with Flash's power, the other one, Jo-Jo, a cheeky RIR kept defying her authority. I don't think Jo-Jo wanted any kind of control, but she just didn't want to be bossed around. I was in the house when I heard the SCREAMING of chickens outside and I went running out to see what was going on. Flash was on a screaming and fighting Jo-Jo. She was sitting on her back with a beak full of feathers and poor Jo-Jo was pinned to the ground.
Flash made her point, and Jo-Jo gave her a wide berth from that point on. Usually I would have broken them up, but when it's politics it's best to just stand aside and let them work it out. Up to a point. If it endangers the hen I may keep them apart etc, you have to watch them and decide.
