A.C.
According to our pediatrician, kids under the age of 2 will not "overeat" in an unhealthy way if they are allowed to eat at will - meaning, if they act hungry, give them food, because they won't eat too much. :)
However, I'm a big believer in talking to the doctor--that is what they are for and a call doesn't cost anything. :) Our doc gave us a handy 1-sheet thing that talked about feeding toddlers and how much they should eat of the various food types. While they usually mean "1-year" by the term toddler, it can't hurt to have that on hand.
It could be, at that age, that he also wants to have what you're having and is mad when you won't give it to him.