SCORM is a bit limited in this area. The only other things it really allows for is tracking of the learner's responses to questions AKA interaction tracking (this is supported by Adapt though might not currently be functional in the v2 version the authoring tool defaults to) and 'learning objectives' which are not yet supported by Adapt though will be in a forthcoming version.

When you say 'more student data' what do you mean by that?