Of course you would need a fridge with exposed coils and a way to route the heat away. I’d look for one that’s designed to be built-in and does the air exchange at the front/bottom.

I have a counter-height wine fridge designed like this.

I’m thinking more like build a cabinet/walls around. If done right it would look built-in.

You could probably build a nice looking enclosure for a fridge and would look better than foam

The arms connecting the 2nd rail are being used during testing.