The Scalosian Queen Deela and Capt. Kirk did have implied sexual intercourse. Watch Memory Alpha and see elapsed time 39 minutes to elapsed time 41 when we see the good Capitan sitting on his bed pulling up his boots, Queen Deela is staring off into a mirror with that satiated look on her face. If this were a successful copulation then the Scalosian gene pool would have at least some new DNA. With acceleration technology the Scalosian's posses then multiple births and replications of Kirk's genetic material might be possible.