I think that it could be possible to trace the owners of the site if you would approach authorities and that is if such exchange is not foreign from you. If it is, it could be a lot of trouble not unless there are other concerns that have been raised against them. In our locality we have almost the same scenario where people have numerous complains about the site doing scam. They were caught and were arrested, hope those people that scam you will be arrested as well.
Meaning to say that this is another way of scamming people by promoting an exchange and then let everybody deposit there BTC and other crypto as well like ETH, EOS and other altcoins. This is very risky and if I were to join into investing altcoins then probably I will invest on aftermarket altcoins or possibly choose a good strong altcoin and then trusting a good exchange like binance.