Remember, this whole thing about crypto is largely decentralized, thus, there is no single authoritative body in control of the crypto market. Although there are few centralized platforms among crypto, the market is largely influenced by the efforts and influence of the users of crypto. How well sellers and buyers treat the coins on the market affect the performance of the market.
I don't think anyone actually controls the market. Cryptocurrency market is a free market for everyone.
Someone can control the price and volume of a token tho. If you're a billionaire and own or has a huge part investing in top 10 cryptocurrency, then you can manipulate now the price of a certain coin. These people are called whales. So yes my friend, you can control the market.