Remote Database

Yes, it’s possible but you’ll need to configure the database settings so that it accepts connections from other servers.

it will work

Not necessarily. As Senff indicated, the remote mysql server must be configured to accept external connections. Google mysql+remote and you’ll find lots of advice.

@thegreyparrots

Sure, but without trying to split hairs, your answer intimated that all the OP had to do was enter the remote mysql server into the wp-config.php file and it would work. That’s only the case if the remote server has been properly configured as well.