Well, that's what the first economists hoped capitalism would do, but they were highly idealistic (the philosophical theory of it I mean). Smith for example tried to understand why some business owners accumulated capital and why some failed, and he could only come to the conclusion that it happened because they worked harder. It was only with Marx (the third ever economist) that we finally had an explanation for why that happened, primitive accumulation through which monopolies could form and eventually capital gets concentrated in the hands of a very few.

Of course if you tell people they can become rich like Bezos thanks to capitalism it might be considered part of its theory, but I personally consider it a lie.