Not a real practical idea. Assuming you need more power for other purposes, you will need a very large solar array and battery bank.
Some alternatives for boondocking:
- Pressure cooker: makes a lot of similar meals but really cuts down on cook time. With a small propane burner outside, it won't heat up the RV and won't use a lot of fuel.
- Since you are in sunny arizona, consider a solar stove. They basically use mirrors to concentrate sunlight on the pot and generally achieve slowcooker type temperatures. (google for premade units or home built units)