There are over 30 strains of HPV with just 2 causing the majority of cancers. So sure, most people may have had some strain of it, but that's not really relevant unless immunity is broad across strains.
Or, you could have been suddenly cheated on and exposed, or divorced and recently entered the dating market, or thinking about opening up your relationship after decades of monogamy.
But the number of such people is low, it would not be easy to find candidates for the trial. Just because there are some doesn't mean there are enough to make it worthwhile for the drug company to do the testing to be able to market it to such groups.