Volume Shadow Copy Remotely?
Solution 1:
You can store shadow copies on another (local) drive, but you cannot store shadow copies on another machine. What you're asking for is a regular backup that can be achieved with the usual tools (e.g. robocopy or Windows Backup).
Solution 2:
I'm not in a position to test this at the moment but I believe the target can be anything that the OS interprets as a local drive. It follows therefore that you may be able to use iSCSI for this purpose, with the physical drive being on any suitable machine.