David,
One person with two primaries, one from
HPV and the other potentially from smoking sound possible enough, but so far non of the studies have reported this.
They do seem to routinely find that at least 20% of the
HPV caused SCC is found in people who also happen to smoke.
The percentage of
HPV caused OC found in smokers should closely parallel the smoking rate, and (guess what!) that rate is also about 20% of US adults.