All A3s with the DSG (S-tronic in Audi speak) have come with the paddle shifts and I have a brochure dated August 2003 and that shows the DSG being available on the 2.0TDI and the 3.2 quattro Sport.
I purchased a new 2.0TDI in July 2004 that had the DSG option and, of course, the paddle gear-change.