There are devices that will cool a drink (can of soda or a beer) to 'ice cold' ( I assume something like 5°) in 60 seconds. I guess this sort of answers your question? The full answer is probably not that it is technically impossible, but that the practical use is largely limited to drinks.
It was annoying, though because you needed to fill it with ice and water. We used it very rarely. And IIRC one time we didn't dump the water out right away and left it overnight, and it never worked again.