With something like cloudberry drive yes it can be done fairly easily. Or webDrive or any other.
If you only want to move it to a remote windows/linux server, yes. Make a link to the remote server in the server where you have scriptcase running. Allow the apache scriptcase service (assuming you run windows) to have access to the remote drive with the proper rights and then save into the linked dir.
e.g. say you have \remoteserver\docs then make a link c:\scriptcasedocs linking to that \remoteserver\docs
Check out http://technet.microsoft.com/en-us/library/cc753194.aspx
Links stay active even after a reboot. As long as the rights are still ok they keepworking fine.