Growing vegetables, herbs and plants inside, no direct sunlight?

I would love to grow vegetables in pots in my patio area and herbs on my windowsill, however my kitchen windowsill opens into a completely enclosed patio area (it might as well be an extra room) so there is no natural sunlight available. Does anyone know if/how I can grow vegetables and herbs in pots with no direct sunlight? Which ones should I choose?

Thanks :)