Cooking is really high draw for a relatively short time. Fry some eggs - 600-800w for about 5-7 min. Bake a cake - 3500w for 10 min to preheat, then the oven cycles on and off for 30 min or so.

It’s possible, but you’ll need a good sized solar array, and a battery bank and inverter that can provide the juice. Another challenge is having enough power for everything else and cooking off season - unless you’re close to the equator. It’s not hard to get an appropriately sized inverter, and lithium handles the draw pretty easily especially in a decently sized bank. 25 years ago I had friends who were fully off grid using electric, but it was supported by a proper windmill; 5kw if I remember. Even in mild breeze the 500watts all day and night helps; when it got windy there was a real concern about boiling the batteries.