Yes, in the sense that I had a fatty liver, stopped drinking, watched my diet a bit, and after a checkup - a year later - it had returned to normal.
A fatty liver can be cured, almost always, provided you do stop drinking.
But as already said, also, for me, it wasn't the only motivation to stop, by far. In a way, it was almost a side effect of trying to correct an insufferable lifestyle. But it's a good warning sign, and I think you should consider following your doc's advice.
Good luck, it can be done.