Right now, no. We're using the Requests 1.0 system from Facebook. Earlier this year, they released 2.0, which has a lot of nifty features we'll be implementing in a future release, but isn't available yet. With 1.0, however, there's no way for JFBConnect to even see how many invitations have been sent by a user or any other information about things like that. With 2.0, there's more ways to check those things.
Hope that answers your question, even if it's not the answer you were looking for.
Thanks,
Alex