Parameters always go along with reports, are you asking if you can maintain the choices or defaults when you copy a report over to someone else? You might just use a shortcut to a report in that instance, not a copy.
And anyone with proper permissions can schedule a report to be *sent* to other users, depending upon what sent means.
I think that Ido Millet is working on a Greyhound bus and frisbee distribution plugin, please specify how this is to be sent, email, disk, Outlook folder, or?
-k