Can multiple game roosters live peacefully in a flock? I know this is a breed that was created to kill each other but it’s it really the geneti make up or the socializa
It is mostly the genetics, not the socialization.
So for the kind of games that were bred to kill each other, you should not expect to be able to keep them together in one flock, no matter how you raise them.
However, the breeds of chickens commonly sold by hatcheries are very different.
For them, it is usually possible to keep multiple males with a large group of hens, and have all the chickens stay alive and reasonably healthy. If you see recommendations about "1 rooster for 10 hens," that is advice about how many roosters to have when there are hundreds of hens. Hatcheries want every egg to be fertile, but they do not want to buy feed for any extra roosters. So they have different ratios for different breeds, with 1:10 being around the middle of the range.
The wild red junglefowl that were ancestors of chickens were different yet. The males would fight if you tried to keep them in a pen together, but with large amounts of space they would spread out and live peacefully enough. There may have been some fights to the death, but obviously enough birds survived to keep the species alive. They had some sense of when to run, and how far to chase the loser before leaving him alone. Domestic chickens were bread away from that in both directions-- the ones that will kill each other (gamefowl) and the ones that can live together (most breeds sold by big hatcheries.)
For the breeds where roosters "can" live together, there will still be some roosters that just will not tolerate each other. So it is not safe to assume that ALL of them can live together. But in general, a large percent of them can.