Do I have an eating disorder?

I don't want to get fat and all the "popular" and most gorgeus girls at my school are super skinny, like healthy skinny not unhealthy skinny. I'm always the last one to leave the house in the morning and my parents want us to eat lunch. My older brother packs his lunch and leaves, I wait until everyone is gone and i make it look like I'm making lunch when really I'm not. If my parents didn't make me eat breakfast I probably wouldn't and same with dinner, lunch is the only meal that I don't eat. All my friends know I don't eat lunch and one time one of them asked if I was anorexic. I feel fat even though I'm not, I don't throw up or anything like that cuz its gross but I just don't like eating. I didn't eat breakfast this morning and when I said that to two of my friends on the bus today they were like WHAT? the only thing I had was pretzels and that was at lunch cuz i was so hungry. I had a small bowl of soup at dinner cuz I have to eat with the ret of the family. But i wasn't even hungry. My best guy friend knows that once I went almost 36 hours without eating anything but thats becuse I threw up once and was afraid to eat just because I thought I might throw up again. I'm hiding it from everyone even my best friend so what sould I do? Do you think I have an eating disorder?