Any way to restrict access to images/files?

All,

I had a client ask the other day, so I am looking into it a bit: If we post a file upload or image on a members-only page, is there any protection for that file upload or image? In preliminary testing, it looks like no, that anyone who has access to the link will be able to download it, regardless of membership status. Am I missing a trick for better protecting posted files?

Thanks,
Cathy