The cryptocurrency trading platform Binance does put limits on how many bitcoins can be withdrawn in a short period of time. A non-verified user can withdraw only two bitcoins per 24 hours.
This increases to 100 bitcoins per 24 hours if the user is verified. A hundred bitcoins are worth around a million dollars, so most people are never going to encounter these limitations.
There are no limits on how many bitcoins can be deposited in a short period of time, not even for non-verified users. Deposits usually complete within minutes; withdrawals can take closer to an hour.