Related question. If one hasn't been promoted from IC during their career, can one jump to first-level manager by changing jobs? I'd like to switch to management, but not at my current company (I'd like to switch to a much smaller company).
Switching to a smaller company, or a company with smaller teams can help. When I started as an EM I didn't want to have more than 4 engineers on my team because I had a lot of things to figure out and processes to hash out. Now I'd be more comfortable managing a mid size team, although I'd miss being less hands-on.