Parthenocarpy is not necessarily accomplished without the presence of pollen and would be better defined as production of unfertilized or misfertilized fruit that is often seedless or contains only aborted or partially developed seed.

Natural parthenocarpy is not uncommon with D. virginiana. When the 90-chromosome northern subspecies/variety/race is crossed with the 60-chromosome subspecies/variety/race, seedless fruit can be produced. Also, as you mentioned, some cultivars produce mostly seedless fruit. Generally, seedless American persimmons have inferior flavor (may be particularly important to your thoughts). Some seedless cultivars do produce good quality fruit.

None of this really directly answers your concerns about the possibility of synthetically inducing parthenocarpy, but it might be useful background information to the subject. Maybe someone here is familiar with a product for this purpose, but I'm not.