If one existed it is in the possession of the the Academy of Science or perhaps Kristale or Collectors Edge might have a copy. If they do I rather doubt that they would go to the effort of trying to put it on line.
I asked Collector's Edge about this back in 2008, a bit after the collection was dispersed, and they said there was no catalog. Also, the Academy's numbering system wasn't done consecutively by dates, or using any logic that anyone had figured out, at least when I asked about it. I have several pieces from ANSP, and I noticed that too. I think there was a discussion about it on this board at one time.
Perhaps we could begin to build a post-dispersion catalog. In this way some information would be retained. The database would certainly include all information on the Academy card label (if present) along with (if possible) specimen photos.
The Academy still has the catalog. Check with them.
The numbering system is better than Kelly suggests. Specimens with numbers under 10000 are pre- Vaux bequest, but are otherwise not in chronological order, because they were numbered later. The specimens with higher numbers are in approximate chronological order and you can roughly figure it out. It should be noted that some older specimens were not cataloged until much later, and so have much higher numbers- I have an H. Seybert piece (donated 1825) which has a catalog number in the 20000's, meaning it was cataloged in the 1920's. This is somewhat unusual however and all my other Seybert specimens have numbers under 10000.