Is there a fuse in the fridge?

Yes, all fridges are fuse-protected.

Fridges with a power socket on their sides: the fuse is a standard-size automotive 15A blade fuse, and is usually underneath the cover marked "Fuse" that is part of the socket. Unplug the fridge, and you can pry the cover and fuse with a small flat blade screwdriver.

If there is no fuse socket visible externally, there will be a blade fuse holder in the power lead inside that goes from the power socket to the fridge controller - unplug the fridge, and remove the screws holding the fridge exterior casing to the frame using a Philips screwdriver to gain access.