Can you die by eating ONLY negative calorie foods?

by Rocky Mountain Feline Rescue
Question by NotRlyFun: Can you die by eating ONLY negative calorie foods?
To settle a dispute between a colleague and I,
Can you die by eating ONLY negative calorie foods for a long time, for example 1,2 months. What effects does it have on your health? And can it cause death by starvation or calorie insufficiency?
With a interest in spinach especially.
By negative calorie foods I mean, foods that burn more calories getting digested then they give

Starting Baby on Solids