Like any eating disorder you can also heal from binge eating disorder. The first step to recovery is the awareness that they have a problem to solve and the second step is to resort to adequate therapy. Those suffering from an eating disorder have within them everything they needs to heal: you must want it strongly, you must have great will power, much motivation and a lot of patience.
Obviously, the healing path from binge eating disorder is uphill, but not be sealed with alone: it needs a lot of people, such as professionals, family and friends.