Technically, yes, you can plug any HD source in to a socket (you'd have to use 2 CAT6 points) and have it appear anywhere in the house, you'd just have to change the patch leads.
Obviously, I want a HD matrix, so I can press a button and have the source routed anywhere but it's certainly possible doing it "manually". You'd need CAT5/6 -> HDMI baluns on either end of the run.
Wait, what?
What's a HD matrix and how much are they? What's a balun? like a RJ45 to HMDI convertor?
Would love to know more about this sort of thing if you have time please? When ever I look into this sort of stuff I can only find the sorts of companies that don't display prices because they don't want you to know first off that 'home automation' = 5 figure bill and run for the hills.
Awesome thread btw, though I'd like to raise the suggestion that the next person to think they're funny and original for remarking on a 24 hour build is banned/shot?