It certainly is doable!
although, there are some ways better to do it than others.
Since binging is an issue, I'd suggest:
-eat only whole foods
-no simple carbs, only complex ones (oats, fruit, veg, whole wheat products etc)
-eat balanced meals: i.e. ensure that you're getting some protein, carbs and fat at each meal. It slows the rate of digestion and leaves you feel more satisfied having consumed all the macro groups
-this should happen naturally while eating whole foods, but be mindful of your fiber intake. It keeps you fuller for longer and is tremendously useful for your digestive system to keep things moving at a satisfactory pace.
-protein. Also keeps you fuller for longer and speeds metabolism. It plays some vital roles so try to make protein and fiber priorities if you can.
-painfully obvious, but fill up on liquids! Not only do they make you feel fuller, but they also cause some foods (such as oats) to expand further in your stomach, which again adds to the fullness factor. I think this is also true for whole wheat pasta and rice.
-exercise. You don't have to, but trust me when I say it helps. It doesn't have to be some crazy workout, even just a 30 min daily walk helps burn calories and improve digestion, also helps with water weight. Activities such as shopping naturally have you walking a lot and burning calories with barely noticing. You could also put on your favorite music and dance it out. Cleaning also burns a decent amount of calories. If you or friends have pets, take them for a walk. All these active passtimes add up! (:
-you could also look into your macros and play around to see what works for you. Personally, I aim for 60g carbs, 40g protein minimum and <25g fats. The carbs is just enough to minimize water weight but keep me out of ketosis (id gain quickly if I was in keto because I do love carbs and having the flexibility to eat more if I want to), the protein is enough that im maintaining adequate levels in my body (at least according to my smart scale) and I once spoke to a body builder who said he lost a ton of weight eating <25g fat (although I know our circumstances are different bc he was muscular af, tall and was working out a lot so he had the TDEE of a beast lol).
I think watching your calories is a good idea too, but i understand that can be difficult in a binge cycle. Have you heard of the healthy skinny girl diet? I think the calories range typically from 800-1200, with one 400 day thrown in there somewhere. So high restriction basically with a low restriction day in the middle. Maybe its worth a look