#13: "To sire" mostly makes one think of a horse or a prize bull. It could actually be quite suitable here, I think, with the speaker rejecting and mocking that role.
verb [ T ]
to become the male parent of an animal or the father of a child:
The foal was sired by a cup-winning racehorse.
old use or humorous At the age of 70, he married a much younger woman and went on to sire two more children.
Re Gibson's suggestion, "having" (#7), an article in today's Guardian uses "to have" and also "to father":
But just because men are biologically capable of having children later in life [...]
Worse is when people make flippant remarks about how “lucky” men are for theoretically being able to father children into old age. “People make comments like: ‘Look at Charlie Chaplin,’” says Adam (Chaplin fathered a child at the age of 73). “I think, what on earth does that mean? Someone famous was medically able to have children at a certain age [...] … And to just dismiss it by saying: ‘Well, you can biologically have children, so it’s OK,’ is upsetting.”