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.