@Spelunkus
I agree with other posters that you should use a (small) propane tank. You don't need the huge restaurant ones, you could check out a camping store for something more towards your needs. Plus it's much safer then messing with your car electrics.
It's totally possible to use a battery, I recomment that you use a secondary circuit for the rice cooking, though. So you have one starter battery and one for messing around with culinary car experiments.
The issue you have is you need to convert to 220V with the power of a proper battery (which you can purchase up to 12V/180Ah strenght)
but you don't actually need a battery that powerful (W=VxA...).
There are a whole variety of converters, electrical transformers, for cars, I would look out for one, which lets you regulate the power flow.
Watch out for truck stuff which usually runs on 24Volts, 2X12V connected in series.
There are formulas to calculate what battery you need using the converted 220V with the need of 400W
The problem you have to face is, to keep the electrical flow steady so you won't blow up your freshly boiled rice or burn down your car, Except if you like to eat fried rice, then don;t forget to throw in an egg, in the burning car. :D
The other thing is you need to split the generator to recharge the secondary battery plus the primary battery.
You can buy a variety of electrical converters and most of the instructions and manuals you can find online. You could actually build a proper power socket in your car so whenever you feel like plugging something in using the comfortable 100- 240V, 50/60Hz, 1.1Amps of your own home.
I love to mess around with my car electrics and I always made sure to keep it safe by double fusing the wires and I recommend to do the same.
Be careful.