Yes. The difference between our current system and Anarchism is that it is much, much harder to create a system that does not benefit the everyone, since the people who are usually negatively effected by the whims of corporations or centralized power would now have the ability to directly have a say in how their local community decides on rules and how to enforce them.
There would also be no wealthy elites who can influence things, as there would be no mechanism or ability for an individual to accumulate vast resources or wealth.