No, it's not. As you can prove by a simple reduction to absurdity. Let's take a feudal system. But in this feudal system our lord will pass a law that effectively means exactly the king's 'chosen' is able to be a blacksmith. And this blacksmith then hands a good chunk of his profits right back to the lord in exchange for this monopoly. And then he does the exact same thing to create a puppet tavern, a puppet brothel, and so on. This is not a capitalist system by any imagining of the word.

The most underlying and critical point of capitalism is an individual's right of access to the market, both as a buyer and a seller. All this class distinction stuff are part of Marx's inane ramblings. They don't even make any sense. Traditionally the shop owner, shop visitors, as well as the shop workers have lived practically right next door to one another in mostly similar condition doing mostly similar things. And more importantly people can generally do as they feel. Want to open a shop? Then knock out the front wall of your home, put up a sign, and boom - you're now part of this magical "class" of business owners. Some people even just set up tables outside their house and sell whatever they happen to like making or growing. And this isn't some vague ideal. In many nations throughout the world today this is still very much the reality, and it's awesome.

This is really the unfortunate part. So many people try to come to conclusions about economic systems and what is right or wrong without having any experience outside of America or similar nations. It's like trying to judge the civility of society at large when you've only ever lived in e.g. Detroit, St. Louis, or Baltimore. Your opinions would be misinformed, at best.