There's been R&D done in the fertility field to make it possible to make synthetic sperm in labs.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5652933/

Apparently there's a way to make sperm from women's bone marrow. What is going to happen to society when women can get a DNA sample from a man, like a hair let's say, and sequence and artificial sperm out of that and impregnate against your will?

When the DNA test comes back positive it won't matter if you've literally never been in the same state as her, you're on the hook.