Depends what you mean by "possible" really. Single portable ring? Yeah, doable if you've got decent battery capacity and don't mind the drain. But a proper built-in hob across multiple rings? That's a different beast entirely.
The issue @FormerCop's highlighted is real — induction's efficient once it's running, but the power draw is brutal. You're talking 3kW+ per ring, which means you need either:
- Massive battery bank (15-20kWh minimum for realistic cooking)
- Solar to offset during daylight
- Mains hook-up when stationary
For a shepherd's hut that's semi-permanent, you've got more options than a van though. Ground-mounted solar array, proper sizing without space constraints. Still won't be cheap, but more feasible.
If you're genuinely off-grid most of the time, honestly consider a hybrid setup — induction when you've got power budget, and a compact gas backup. I know that's not what you want to hear, but it's the realistic middle ground. A 5kWh bank like @Louise1984's might cover