It is possible, but I believe for treatment to really work, you have to truly want to get better for yourself. For the longest time, I claimed I wanted to get better from anorexia, I was seeing a psychiatrist, a therapist, a dietician, but just going to appointments doesn't do anything if you go home and refuse to make positive changes in your life. You don't get well by virtue alone, especially not when your actions outside of meetings with therapists and dieticians do everything to thwart recovery.
You have to really, truly want recovery and not truly desire to keep the ED deep in your heart. It's difficult, I know. For so long, the ED was me; it was my identity, and I was scared to let it go. But it's really a very shallow, selfish existence, and I've found I'm much happier without it.
I still do have body image issues, but I always did, even when I was so skinny I was having all sorts of health problems, I thought I was fat. I was never happy.
At least, now, I have energy and I'm mostly pretty happy (even off antidepressants over a year and a half now!). I still get the ED thoughts, though they do lessen with time, the key is I don't act on them.
I have been recovered over 5 years now.