No. Due to its basis in private property, "anarcho"-capitalism implies a class division of society into bosses and workers. Any such division will require a state to maintain it. However, it need not be the same state as exists now. Regarding this point, "anarcho"-capitalism plainly advocates "defence associations" to protect property. For the "anarcho"-capitalist, however, these private companies are not states. For anarchists, they most definitely are.
According to Murray Rothbard ["Society Without A State", in Nomos XIX, Pennock and Chapman, eds., p. 192.], a state must have one or both of the following characteristics:
1) The ability to tax those who live within it.
2) It asserts and usually obtains a coerced monopoly of the provision of defence over a given area.
He makes the same point in The Ethics of Liberty [p. 171].
Instead of this, the "anarcho"-capitalist thinks that people should be able to select their own "defence companies" (which would provide the needed police) and courts from the free market in "defence" which would spring up after the state monopoly has been eliminated. These companies "all. . . would have to abide by the basic law code" ["Society Without A State", p. 206]. Thus a "general libertarian law code" would govern the actions of these companies. This "law code" would prohibit coercive aggression at the very least, although to do so it would have to specify what counted as legitimate property, how said can be owned and what actually constitutes aggression. Thus the law code would be quite extensive.
How is this law code to be actually specified? Would these laws be democratically decided? Would they reflect common usage (i.e. custom)? "supply and demand"? "Natural law"? Given the strong dislike of democracy shown by "anarcho"-capitalists, we think we can safely say that some combination of the last two options would be used. Murray Rothbard, as noted in section 1.4, opposed the individualist anarch