This is exactly what I do too with Acronis. Win7 can be registered A LOT. You just have to know how to jump through the hoops.I routinely make "clones" of my main PC to other PCs with different motherboards, processors, graphic cards, etc. Each new version of Windows is actually more tolerant of this type of procedure, and I have been 100% successful since the early Windows 7 days.
For example, I recently did a complete image backup of my existing Win 8.1 system (not a Surface) using Acronis. I then restored that image onto a new VirtualBox VM to make a virtual clone of my system.
Yeah, the first boot is rather lengthy... as it discovers and installs the new devices. But, you just have to be patient and wait for a few reboots.
And yes, it will detect enough changes in the hardware to ask you to re-register the OS. So you might need another registration key if you plan to keep both OS running.
As for the OP's question, I dont see why you couldn't, but you might need a 3rd party app to do it easier. Activating/registering Win might be the only prob.