It is possible, in fact, there is a Facebook app available on certain vendor devices which I wrote.
We worked with Facebook directly to gain access to privileged APIs to accomplish what we wanted to do. I can tell you that it was quite a lengthy process and there was a lot of red tape. The primary concern from their side was security in dealing with the authentication between the app and their servers.
Since Konfabulator is not doing anything specifically to prevent using any 3rdParty APIs I would suggest that this is something you would need to work with them on. Of course start by becoming familiar with their documentation... there is a LOT of it.
It was my understanding last time I worked with their APIs that Facebook Connect was more of a browser framework. What you will want to use is something that is environment agnostic, like their REST APIs.
Keep me posted on your findings but please do not post anything related to security that would expose keys, algorithms, or be considered an exploit.