Definitely doable via RDP. But overall I'm not thrilled with the RDP experience on a tablet. Screen refresh is fine, but apps built for a mouse just don't translate to a touch only screen very well. And you really need to have a bluetooth keyboard except for a little bit of lookup work.
You have to learn lots of odd multi-finger gestures and slides in order to do things like scroll windows etc. Open and close X icons are too small for fingers etc.
What is their business case for this?