Technically, food has calories so zero is not possible. This might apply ... and good luck?!?
https://www.livestrong.com/article/523013-how-many-days-can-you-survive-without-food/
Perhaps your question could be phrased differently. For example, there have been efforts to achieve USRDAs - now DRI often - see:
https://en.wikipedia.org/wiki/Dietary_Reference_Intake
... with a minimum amount of calories using real foods. If using supplements, everything changes. A simple multivitamin might get 90% of it done (micronutrients only).
Also, aren't there many caloric nutrients - or are those distinct from the micronutrients. E.g., amino acids, omega fats, fiber. The Wikipedia/DRI lists those as macronutrients:
https://en.wikipedia.org/wiki/Dietary_Reference_Intake#Macronutrients
So, I would think ideally you want to get all of your micronutrients with your more essential (short term, at least) macronutrients:
https://en.wikipedia.org/wiki/Dietary_Reference_Intake#Macronutrients
There may be daily meal plans/diets from members that can be dug up if that is what you want.