Yep. In fact, early human migration and expansion began not due to human desire to conquer others or due to a penchant for violence, but due to humans trying to get away from groups that displayed psychopathic tendencies.
And you are absolutely right about most being laid back and cooperative. People don’t really understand the connection between human greed and the effects it had in human socialization.
In addition to the myths about “alphas”, people also have a gross misunderstanding of “cave men” behavior in early human society as well. Many have this idea of big dudes knocking chicks over the head and carrying them back to the caves, or constantly killing off weaker individuals to gain sexual access to multiple females.
But hunter-gatherer societies were characterized mostly by egalitarian relationships and small close-knot communities.
Human greed is what drives most of the more violent, selfish aspects of human behavior and that became codified much later in human history after the shift to agrarian societies. Hoarding surplus or greed is the beginning of our economic systems (capitalism vs communism), gender imbalance, poverty, war, and current environmental crisis.