I think you should talk to your doctor about this. Binge eating is most commonly a psychological issue. And there is nothing shameful about that but you do need to see a doctor. Trying to stop your binge eating by skipping meals will most likely back fire. If there is a underlying cause it won't go away by skipping meals.

I've been a binge eater for about 10 years. I've tried the skipping meals and only eating certain portions but it never stuck. It wasn't until I started seeing a therapist that I started getting an understanding as to why I was binge eating