Unless that particular person is willing to spend a ton of money on promoting, have a company that is registered in real life, and their exchange is able to provide pseudoanonymous accounts to people who aren't necessarily willing to verify their accounts, then no.
I think that the exchange space has honestly become quite saturated and this point, with Binance obviously holding the majority of the market share.
It'll be quite hard to take over that spot, or any other major exchanges for that matter, unless something major comes up. Just like how Binance took advantage of the downfall of poloniex and Bittrex, though even then, the marketing efforts that are needed are just way too costly to be afforded by any average exchange.