A compressor type of fridge MAY be buggered if you have let liquid refrigerant flow into the compressor and then started it up. (Liquids aren't compressible so the compressor tries to compress the liquid, the seals blow out, the refrigerant escapes and the fridge doesn't work.)
If it's a compressor type fridge then leaving it UPRIGHT for 24 hours may do the trick IF the refrigerant is still there.
An absorption fridge (like those found in many caravans and boats) require all the components (ammonia, water and hydrogen) to be in the right place as well.
As a general rule moving them about won't lose the refrigerant but they need to settle before they can perform. Again, leaving them for 24 hours will allow the components to settle out okay and is recommended.
However, an absorption fridge must not only be UPRIGHT it is also has to be LEVEL as an inclination of about 5* will stop it working properly.
Enjoy and pray!!