I like chewing ice chips or thin ice cubes. And I seem to be doing that a lot lately. Do I have an eating disorder?

Don't think so... but you do want to talk to your dentist about that habit. Its really hard on your teeth to chew ice. Lots of people damage or break teeth every year doing that.

Its not technically an eating disorder as long as you eat other foods, its more of a habit Id say.

Actually it's a symptom of anemia. You need to get blood tests.