To use an analogy, I think of myself as a decent carpenter, but I'm always blown away when I watch "This Old House," because Tom Silva is always busting out really great shortcuts that make things like scribing molding to the wall look really easy. I'm sure he invented some of those tricks on his own, but I'm also betting that he learned a lot of them from his days as an apprentice carpenter to someone older and wiser.
I think it's definitely possible to get such an education without ever setting foot in a school, for example by working closely with a skilled mentor, but I do think it would be hard to naturally stumble upon all of these key areas without someone laying out a self-study plan for you.