Anarchy

I’m new to the Anarcho-capitalism movement, and curious to hear more about it. I’ve been wondering if there could even be anarchy that isn’t capitalist, because it is the natural state of property ownership and means of production. Any other form of anarchism, especially ofcourse anarcho-communism, has to have a state to enforce the shared ownership right? Is there an argument to be made that it doesn’t have to be, or is this taken as true by ancaps? I just don’t see how there couldn’t be capitalism in anarchy…