Furniture fridges are not supported with the current game.
You can build stationary vehicle and mount a mini fridge on it. Then you need a battery to power the fridge and an electronic control unit to turn the fridge on.
Solar panels or an engine with alternator (and fuel tank) to charge the battery are recommended but not required. In the early game, I’ve gotten by with installing extra batteries into a solar can, uninstalling them when they’re charged, and moving them to my stationary mini fridge “vehicle”. Kind of tedious, but I didn’t have the Mechanics skill to install the enhanced solar panels.