Are you talking about the Adapt framework itself - or the output of the Adapt framework i.e. course content created using the framework?

We'd like it to be as tightly coupled as possible to ensure data from across the site can be passed to and from the LMS. Is this kind of this possible?

If you're talking about having the course content running on a different server to the LMS that's likely to be problematic (for any elearning course) due to cross-domain communication issues - SCORM isn't really set up for that. It's a tricky problem to solve and one that's really outside of the scope of this forum.