That depends on the capacity of your battery back up. If it is sufficient to to meet the requirements of the fridge then yes, however, how long it last also depends on the the capabilities of your back up.

It is important to have a battery back up and to check its power level at regular intervals. This way, in the event one's battery fails during a power outage, one is sure to be covered.

I have a 2000 Deville DTS. The battery is located below the back seat. Just pull up the seat (not back), and you will find the battery.

The battery is located in the back seat - you take out the back seat by pulling up from the floor - then lift out - the battery in on the passenger side.

A computer battery back up can be found at Best Buy, Fry's Electronics, Amazon, and most other computer and electronics stores. Battery back ups can be valuable accessories if you live in an area prone to power outages.