Maybe. To both questions.
Most of my cocks cannot be with another male no matter whether there are females involved or if they are living in bachelor quarters.
What breed of cocks are they? My neighbor has game chickens and his cock kills any and all of his sons once they reach a certain age. But I have also herd of young cocks being raised together being able to live together if there were enough hens. They were not game cocks, but neither are mine, I have a 2 month old black Orpington cockerel and a 5 month old black Austrolorp X white leghorn cockerel.