Can you use accupuncture to cure insomnia?

Yes. I did used it for some patient before with success.
Treat-yes. Cure is to strong of a word to describe any treatment for insomnia.
Treat vs cure. Most of the patients that i treat for insomnia have profound symptoms. I treat wounded warriors with traumatic brain injuries & post traumatic stress disorder. Many did not have a satisfactory response to medications alone. The addition of acupuncture has helped most significantly. However, the effects are not permanent & require repeated treatments. The insomnia isn't cured but it helps.