Nope. Anarchy is the abolishment of government, not the abolishment of systems. You can have a company for example in an anacho-capitalist society, which is clearly an organized system. Anarcho-capitalist philosophy's main principle is the one of non-aggression, which implies you might do whatever and however you'd like, as long as you dont initiate the use of force against other people. You can even be a communist in an ancap society, if you'd like and as long as you dont force others to join your commune nor commonize other people's means of production by force.



Anarchy simply stands for freedom from coercion, and since government is institutionized monopoly over the use of coercion, anarchy is against the existence of it.