This of course also varies on your definition of rich - you can certainly manage "rich" in the traditional sense, but not to the scale that you'd talk about for finance.
I can't reply to your comment, but pretty much yes, I'm sure. Doctors and lawyers are actually the canonical example of lucrative but labor limited professions. And being able to build a practice exponentially is vanishingly uncommon, enough so that no one should bank on it, whereas compounding is a fundamental trait of finance.