Is it possible to reopen binance account after you close it?
No, you cannot close an account once opened, even if you try to, the information's you have already supplied to the centralized exchange are on their system server, such cannot be erased, if they are forced by the government to release any of those users information's, you're not safe, the better way to be safe is in avoiding their use and consider a decentralized one or a non custodial storage.
The reason I ask is people may be forced to reveal their whole transactions to tax authority. Closing and reopening binance account will prevent him from doing so.
You can in such case log out after a session of your activity on it, or possibly hide your binance app on apps that can perform such function.
You can move this discussion to exchanges.