Can I map a drive on the remote client from within DRS?
Depends on exactly what you're trying to do, but the general answer is yes through the 'Shares View.'
The DameWare Remote Support Shares view allows you to view, create, delete, and modify shares on a remote system. Use the tree view on the left to browse files and folders on the remote system.
Use the mini toolbar on the Shares view to perform any of the following tasks on the remote system:
Note: The Share path must be a drive based path in reference to the system on which you are creating the share.