http://www.kansascity.com/living/health-fitness/article207439154.html

Matt Groening helped design a Homer Simpson patch for an experiment going up Monday to study sperm in space. Groening is an acquaintance of University of Kansas Medical Center researcher Jim Tash, whose experiment will be launched to the International Space Station. The patch features an "astronaut Homer Simpson riding an angry-eyed, bull-headed sperm cell through outer space, complete with his tail a-wagging."

If the show had beaming technology and medical tricorder technology that Star Trek has, they could duplicate the virgin conception of Jesus miracle. In reality, there are tricorders; but I don't know about scanning the insides of people, so it's probably not likely that there is nothing more than x-rays for that.