If you designed around it, it would fit where existing kitchens have drawers, and the space typically reserved for a vertical fridge would be occupied by shelving. Kind of a neat idea. Microwave drawers are a thing.
Under-counter refrigerators are also a thing. They're often not cheap, though. KitchenAid has a two-drawer one for around $3,000. But you can find off-brand ones for $700, too. I don't know if the KitchenAid is that much better. There are things to take into account. It's not just as simple as 'put short, 24" deep fridge where drawers go."
They make them already, they just tend to be expensive. Look up Sub-zero.