These are two very different things. Binging is a loss of food control and harmful to your physical body as well as emotional well being while late night eating may be exactly what your body needs for you goal. You don't have to go to bed starved.
You feel fatigued,
and have trouble sleeping but you've been hitting your workouts HARD. Maybe too hard. Working out hard is great, working out hard too often can actually undo what you're trying to do.