One can NOT perform 'copy as' - not just for security reasons - from a client..
On the server, You have 'schedules' that perfom backups without stoping the server. You can create as many schedules as You like, You can enable (= automatic..) or disable (= have to be started manually) them. This happens via the Admin-website
You can also download databases from FileMaker Server using the Admin-website
(all from the manual, btw)