I s it possible to have a partial hymenectomy?

Yes. The operation is more properly called a hymenotomy. When a baby girl is born with an imperforate or fused hymen, vaginal secretions have no access to drain. They collect and distend the vagina. As the girl gets older at about the time menses would start she will have episodic lower abdominal pain/ it will come monthly. Exam will reveal a bulging hymen that needs to be opened to allow normal functi.