Depends on your definition of communism…
Jesus definitely was communist - he abhorred riches, and urged his followers to give away their wealth for the rest of the community to use. the parable of the workers in the vinyard - everyone gets the same wage no matter how long they work? Jesus endorses the AFL/CIO. And so on… Early Christianity was definitely centered around the idea that what was one, was everyone’s. True, he didn’t abhor religion in the true Marxist sense.
Most small tribes - the ones we think of as hunter-gatherer, but usually more complex - had a communal lifestyle. they varied from a few dozen engaged in hunting and gathering, to larger villages more dedicated to agriculture. How close this comes to “communist” is debatable, but the same can be said of communist countries.
Basically, there was no higher organization capable or ready to step in and solve the village’s problems, so everyone had to fend for the common good of the village/tribe, and everyone sinks or swims together. After all, most members were deeply related to everyone else in the village. So if one man kills a deer, the whole village shares in the feast (Or if we’re talking a few hundred people, all the people close around him socially.) Nobody starved while someone else got fat.
Another point was that many of the villages were nomadic. Even the more established villages, like the Iroquois longhouse vllages, would move every few years; so they tended not to accumulate a large collection of “personal possessions”.
This contributed to a more relaxed view of “private property”. If you aren’t using the canoe you made this day, why can’t Running Bear use it? It would be a greedy act, like if your dad said “I bought this TV, everyone else out of the room when I watch - you can’t watch it, buy your own!” there would be some personal private and untouchable things, but very little.
That’s the other problem - along with a limit on what a person could reasonably own, since their possessions had to be portable - there was no money. Money is essentially a way to store possessions in a small, easily carried form. Without money, with a limit on personal possessions, sharing is automatic - it’s a different form of money stored as obligation. I share my meat so Running Bear will share his when he hits the hunting jackpot.
Even the North American Native societies that reached beyond this stage, to the proto-empire and empire stages, still had the difficulty that they had no form of money - so again, their ability to accumulate personal possessions was limited to barter. The local villages, as far as I know, retained this “sharing” model for local interactions. Presumably, like proto-empires elsewhere, they just had to contribute food and labour to the central government.
The potlach is an interesting illustration of this. The west coast tribes, because of the abundance of resources like salmon, could live a non-migratory lifestyle. They could build large, complex wood villages in fixed locations (although much of the complex large-scale decoration like totem poles evolved after contact with the white man and the acquisition of metal woodworking tools). Their larger villages were organized in a heirarchy where some “nobles” owned some resources like fish runs and the lesser tribe members paid them (in barter) for the use of these. Without money, they had a familiar dilemma - you can only use so many blankets, wood chests, fancy clothing, pots and spoons, etc. When a family accumulated too much, they had an “orgy of giving” and gave away all their possesions - aggain, effectively creating a currency of stored obligations; it didn’t hurt too, that this display also enhanced social status.
So was it communism? Or simply pragmatic self interest to ensure the entire village was “taken care of”? Or is the label meaningless other than Marx thought a city of a million people would see the same self-interest in helping everyone?
The problem is, the bigger the group, the easier it is for someone to get a “free ride”. Even a few decades after they were founded, the Israeli kibutz members were finding the same problem as the Russian collectives - that often people did not work hard when most others would reap the reward. Of course, unlike Indians, modern society is secure in the knowledge that as long as there is not chaos in the state, everyone will survive whether they help their immediate neighbours or not.