Answer
No — there's no built-in auditing capability for tracking who exported what data through Output Channels; that functionality is implemented in the client framework itself, which doesn't log this kind of export activity anywhere queryable on the server side. If export auditing is a genuine compliance requirement, it would need to be addressed some other way (for example, restricting export capability itself through permissions, or an external monitoring approach), since it isn't something IFS Applications tracks natively.