Not in the cards right this moment - the current forum software does not integrate with Tapatalk and they have no plans to due to privacy issues, etc. Evidently tapatalk has also said they do not plan to pursue integration with WordPress-based forums.
This particular forum software was the best solution we could find with our extremely low budget. We have some stuff in the works that will hopefully enable us to pay to eventually move this site off WordPress and onto other servers (nothing will change for users) which would enable us to have a bit more freedom of manipulation.
What features of tapatalk do you like the most? We may be able to find a partial solution.