Why do you believe in it, do you approve it in theory or also in practice? I think a lot of people approve of anarchism in theory but rejects the possibility of it to be put in practice unless we live in an utopia.. which I don't think we do, unfortunately. Maybe techno-anarchism would be more practical? Technology is such badly regulated and ordinary people are punished harsher than corporate so I really think techno-anarchism deserves a lot more attention (not saying anarchism itself doesn't) I see a lot of people here are more knowledgeable than me so don't take my word so seriously, maybe I shouldn't be expressing my idiot thoughts on it, or maybe just embrace it and ask regardless of any shame I might get.
I'm not trying to be mean to anyone, just genuinely wanted to discuss with whoever is willing to chip in on the topic.
Not if you take the traditional definition no. All natural life tends towards organization of some kind, which implies that organization is a consequence of life until proven otherwise.
If you take a more modern definition of anarchy where you mean decentralized rules, then I could imagine a situation in which it occurs. Though it's a far stretch to say that replacing a ruler with rules inherently solves the issue of power imbalance. Wether I am playing the game against an intelligent being or a logical system is irrelevant if the rules are unfair.