m4v3rick which extension are you referring to?
I don't think FoF Upload or any other upload extension has actor-aware file access protection. However the URLs are not supposed to be guessable.
In the future version of FoF Upload that connects files to posts, an access control that inherits from the posts that contain the file could theoretically be implemented. But since a same file could be in multiple discussions this might be tricky to implement.
Another option would be to only generate links with expiration tokens and never reveal the full path to the file. The way FoF Upload is implemented, it's not easy to implement for all template options.
Both access control options would also have a performance hit, particularly if the goal is to serve video files (the proxy/authorization script would have to support media seek and cannot be moved to a separate server). The best would be to rely on signed URLs from an external file hosting platform like Amaton S3, another feature currently not implemented in FoF Upload.