No, not that I know of. They just make a certain number...and when they are gone, they are gone (unless they make another batch).
Honestly, I would not consider a Coach to be LE without being numbered. A lot of so called LE's show up at the outlet en masse... (Croc Audrey anyone?)
So, don't let that alone make you buy a certain bag.
I am sure a lot of other TPF'ers will have more to add to this.