@ethanquincy There should be no reason why not, however the question here would be more how to do it than whether you can (finding the correct guide or adventuring yourself)
I've asked the author of [guide|52204|this post] if he could add a full view of the back of the machine, without the cover blocking the parts, to see if the HD is easily accessible.
Another issue I could see is Windows license restrictions.
You might want to look into Linux, depending on your use of the computer.