Yes, Galaxkey allows you to use it locally without cloud synchronization and sharing. This can be configured for identities by following these steps
1. Login to https://manager.galaxkey.com using the identity that you want synchronization to stop.
2. Click on "Configuration" option
3. Uncheck "Enable Galaxkey Secure Share File Synchronisation" in the Galaxkey secure share section.
4. Restart Galaxkey for windows on your machine. It will now stop synchronization and sharing with other users.
Note: You will not be able to get the files shared with you till you enable synchronization and sharing in Galaxkey for windows.