That is what anarcho capitalism is. But in this case some people, who hold the most gun and food, have more power than the others. So there is hierachy again. True Anarchism wants to prevent that. A lot of good explanations here :) https://www.anarchistfaq.org/afaq/
Not in my opinion. I dont think forcing yourself upon others and establishing totalitarian states is a success. If you mean working as becoming the main party then sure but i think working is establishing its principles. And there are anarchistic projects that worked quite well im that sense. They never lastet but they did often change a lot. For example the spanish civil war, the paris kommune. Those are the biggest ones. But anarchistic principles were always important. Many “primitive” cultures were egalitarian ones, which they did a lot to keep it that way.