If you’re using the screen on the front of your fridge and your fridge’s built-in buttons, if your computer is in the door or walls of the fridge as opposed to just chilling on a shelf like a leftover burrito, if your computer doesn’t have its own distinct power source, and if your fridge continues to cool your food like a fridge… why not?
No, it’s not running entirely on the fridge’s hardware at that point, but you did basically hack your fridge to be able to play Crysis.
In this case it does all of the above and also triggers device functionality based off of game events.