Remove User's Actions in Streams

Is there a way where users can turn off every actions that taken place for the user on the streaming walls? If not, this would be a great Privacy feature, allow the user to regulate. One reason is because as it's not really needed to have everyone know what the user is doing all the time? If this is already in place, please let me know where I can locate this? Could be a backend feature, but I have not been able to locate it nor am not to locate it in the documentation.

Thanks,
Steve