The definitive answer to the title question is an emphatic, "Maybe." Why?  It depends upon whom you ask.  It depends upon your definition of addicted.  It even depends on the type of cheese you're continuously munching on. 

This obscure question was brought to my attention by my daughter, who regularly sends me newsworthy links to topics she thinks I should cover on Shelf Life Advice. This time, she sent me a Discovery Channel online article by Alice Truong, who talks about casomorphins, which, as you might surmise from the last two syllables, are related to the addictive painkiller.  Here's what Truong says, "The primary protein in milk is casein. When the human body digests casein, it produces casomorphins, which have an opiate effect on humans.  Because cheese is denser than, for example, milk, the casein is more heavily concentrated, meaning that eating cheese produces a larger amount of casomorphins in the body compared to eating other dairy products."