Not really. Tribes generally lived in specific areas, and would go to war with other tribes if those tribes tried to expand into their turf. Or would go to war to expand their turf. That's basically the early version of nationalism and borders, with the tribe as the nation, and neighboring tribes understanding which area was whose. Even nomadic tribes would be nomadic within a certain area, and jealously protect the area they would go to at the start of every spring, for example.

Even modern primates establish territories for their groups, and warn off and fight other primates attempting to encroach. So this general behavior is quite natural. The concept of open borders where anyone can just waltz in and live somewhere where they're not from or didn't marry into and haven't been invited -- that's actually the relatively newer idea, historically speaking.

I'm not arguing for more closed borders today, but I don't think we're should pretend that the historical human condition has somehow been "open".