As long as binance was a live and he got your credential and it's possible for him to get money from your wallet. If he has no credential to sign in into your account and he can't get money from your wallet. Im storing BUSD for almost 2 years in my binance account but doing this thing is not recommended caused by the fact that if binance can down anytime and your money might be in a critial issue when this thing happened with binance exchange site.