Just make sure you stay hydrated. It wont kill you to miss a meal, generally speaking. Its good to listen to your body, listen to your hunger. If it goes on for a long time that anything and everything makes you sick, then maybe there is something wrong. But nuts and ice cream? Those are both hard on the digestion to begin with.

Maybe look at a diet for post-gastric bypass surgery, first week. That would be things very easy on the stomach.