While it might seem strange to a westerner, acupuncture is associated with a wide range of benefits. It affects the nervous system primarily, but the stimulation can also affect blood flow and the chemistry of the whole body. In particular, it is a challenge to influence the involuntary nerves that affect reproductive organs. Fertility acupuncture might improve the chance of conceiving if hormonal treatment proves unrewarding.
The health of the body as a whole affects fertility. Proper diet and exercise promote a balanced weight as well as health in general, so this can also be an important step in improving fertility. Acupuncture is often used in conjunction with other treatments. Since it does not introduce new substances into the body, it is not contraindicated by prescription medicine.
Using needles to induce changes in the body is a very old practice and an important part of traditional Chinese medicine. Long experience suggests it can have a wide range of effects on the body. It might improve fertility and is unlikely to have negative effects if performed by a professional.