Yes. If you tap on the 'Insights' tab in 'Teach', you will find a drill-down report that gives you a history of all the activities, badges and messages that have been sent to a class. You can filter this in various ways.
You can see, for example, the content that was sent, by which teacher, how many pupils/parents were updated, which pupils have parents joined up to MarvellousMe, and which parents are sending you 'Hi5s'.
We use the term 'Followers' for the parents joined up for each child, as lots of teacher have more than one family member connected. Tapping 'Zoom' will even show you which of the followers have 'Hi5d' you.
Watch out for more reports coming soon in the 'Insights' section.