well technically a part cannot become "frozen" as that kind implies its wet or some kinda fluid in the parts.
and at that point you have other issues as your comp should be dry lol
there are .... commercially available to us, non-water cooling systems that reach below ambient temp.
the true dream.
but the full loop of this deal is like 3k on its own. my comp would have to total like 6k before this is a reasonable accessory.
In the video the liquid nitrogen was building up ice from the moisture in the air. Obviously you'd be using a loop and stuff though, so in reality it'd never happen. Or would it? :)
Think about it, unless your case was airtight, condensation which would freeze pretty quickly would probably build up on the outside of whatever tubing you had. Turn off the computer and walk away, ice melts, covers the comp with water. At least that's happening in my mind, I'd assume there's work arounds to that.