It is possible. How practical it is depends on how long you need to do it between battery charges, and how much battery capacity you have. Two batteries doesn't say much, as batteries come in a wide range of sizes and capacities, and designs optimized for different discharge rates.
Each induction burner will draw 100 to 180 amps from the battery bank through an inverter (probably needs to be at least 2 KW). That is close to a starter load, but the dual purpose batteries often installed in RVs can handle that load pretty well for a short time.
If you have a fully charged pair of the dual purpose batteries usually installed in RVs, you might draw that for about 30 minutes from Group 24 size before the inverter cuts out for low voltage. About twice as long for Group 29, twice again for a pair of the big heavy 4Ds.
If you have a pair of 6V true deep cycle batteries in series, you might get substantially more time, still depending on size. For 200-240 AH GC-2 size golf cart batteries usually installed as alternative to Group 24 12 volts, up to two hours drawing 75 amps, maybe 45 minutes drawing 150 amps. This type of battery is at its best drawing at amperage loads 1/10 to 1/5 the number of the AH rating, and will go down faster at higher loads. GC-2, for example, is optimal at about 25 Amps. For consistently higher loads, a larger battery bank is usually installed, so that the highest long term load is no more than 1/5 of the total AH capacity. If you want to run your induction range from GC-2s, you should probably have eight of them installed.
Of course, you probably have other loads using battery capacity, either directly or drawing through an inverter for 120 AC loads.
Tom Test
Itasca Spirit 29B
