IIRC, people have been trying to stick computers in refrigerators since the first dot-com boom. It made little sense then (and even less sense now), but it has a superficial appeal if you don't think about it too much: everyone in the family interacts with the fridge on a regular daily basis and many people use it as the household noticeboard. However, when you think about ergonomics, efficiency, and maintenance; the whole idea falls apart quickly.
The problems here are 1) there's no easy way to automatically detect the levels/amounts of foods in your fridge with current tech, 2) shipping a single milk or stick of butter is horrifically uneconomical, and 3) shipping cold, perishable items is even more uneconomical. I guess you could configure the computer on the fridge with your favorite items inside, and then just press buttons on the screen when something runs low (so it's not fully automatic), but that doesn't help with #2 and #3.