If the owner finds a way to ensure the players that they are actually playing against humans then it could work.
If player can interact while playing on the site will assure somewhat that we are playing against humans..... video calling can be a good option
I suppose it would also be necessary for the site to have a view of both players' screens, for that to have a chance of working - but even then, that wouldn't really prevent a scenario where a cheater would have an accomplice watching the game, and using a chess engine to then show the best moves to the first.