While anything can be done, given enough money, essentially the answer is no.
The cycles and operations of the two different types of refrigerators are so different that even a very skilled customizer would have great difficulties doing that kind of conversion project.
You might consider converting the compressor on your original refrigerator to a
12 volt Danfoss type unit and run the refrigerator on
12 volt power, but even that would be a difficult and expensive conversion.
A third possibility would be to run the current refrigerator on an inverter, however that would take a lot of battery capacity and probably generator run time to do it.