Technically, no, because the document does not contain any list of people who have read it. That information is contained in the user's bookmark database, usually.
So, if you want a practical solution to know who has read a document, you will have to create a functionality that will record every time a user opens a document.
It is rather simple to do so. Using the QueryOpen event of the form, you can create a small record document with the name of the user and the UNID of the document.
Then, for control purposes, you can add an embedded view for authorized users that will display the list of records for that document's UNID, showing the name (collapsed) and date/time stamps (when expanded).
Rather easy to do, but you will need a Notes Developer to make the change.
Pascal.
I've got nothing to hide, and I'd very much like to keep that away from prying eyes.