In short, no, not out-of-the-box.
A quick-and-dirty solution would be to use the {SAVEDID} which is available after submitting the first question page. You could use that number to populate a hidden question to be used for conditions later in the survey. The flaw with this method is that incomplete surveys also get a SAVEDID.
A more robust solution would be to make an AJAX call to a remote PHP script that queries the database to find the number of completed surveys and then populate the hidden question accordingly.