No it looks like payment goes through a third party site that is used by many state agencies to collect taxes and fees. So they probably wont report back anything besides payments to BAR.
What would have been great instead of a fax is a general email address that can accept attachments. I already had my renewal training cerficate saved as an image on my computer so I was just waiting for word or an email address if anythhing.. I realy thought they could have gotten the information from the training module login, it seemed like it was tracknig my progress and saving my completion. Maybe just not a reliable system to retrieve info from.