removeable SATA drive

I am considering building a server with either Fedora or CentOS to do backups of some other servers. This box would have an SATA drive in a removable enclosure. The question is: is it possible to do the following without having to power down the server?

– umount the removable drive
– remove the drive and replace it with a different one
– mount the new drive

Or will I have to restart the system for Linux to recognize that I have changed out the drive?