This work in theory, but not necessarily in actuality IMO.
Basic government structure is required to keep the peace. The early civilizations that were most prosperous were able to accomplish this through formations of laws and enforcement along with a democratically elected central figure. Anarchist might have laws and enforcers, just absent the central figure. Which in that case, the enforcers become the quasi central authority.
Yeah, apparently there were never, in recorded history a country or society, based in pure anarchism. And it seems to exist only as a theoretical experiment and not in practice.
However, Anarco-capilaism, despite te fact of sharing quite a few characteristics with pure Anarchism, it is probably quite a different story. But I am not aware either of any country that implemented such political ideology at a national state level. It would be interesting to see how would it develop, if it ever would develop.
I think there are small comunities that tried to implement such ideologies but not even sure how did they managed themselves nor how long they lasted!