I’m no Anarchist, but that’s not what Anarchism is. Anarchism is a fully developed horizontal system, rather than vertical. The idea that Anarchism is simply “no rules” is an unfounded stereotype, there’s lots of Anarchist theory.

While I personally think it’s very difficult to achieve, it wouldn’t be for the reasons you’ve listed. Simply destroying government isn’t an Anarchist ideal, building up parallel structures like networks of Mutual Aid to replace the state and make it redundant is Anarchist praxis.