HI Tyler,
That would indeed be great, but as far as I know, there is very little organizing you can do with Vertex Groups at the moment…just change their order, by manually moving a Vertex Group up or down in the list (can’t even drag and drop them) or put them in alphabetical order..
But…there are Addons, this for instance might be what you are looking for: https://blendermarket.com/products/vertex-group-collections
There are more and I haven’t used any, but from the description this looks very promising.