Yes, it is possible. If the Linux directory with the working copy is available on a drive mounted in Windows (for example mounted through Samba) then in Syncro SVN Client you can select the root folder of the working copy in the dialog for adding working copies
in the Working Copy view.
The speed of refreshing the content of the Working Copy view by the Refresh
action and of running other actions on the working copy will depend on the speed of the network connection that accesses the working copy on the Linux drive. Accessing a working copy in Syncro SVN Client does not depend on the location of the working copy (the local computer or a Linux network drive) because Syncro SVN Client is working on files and folders available in the Windows file system.