Can acupuncture cure headaches? Thanks.?

Yes. There are several of the primary meridians run through the head. Two of the Qi vessels run through the head, and there are hundreds of very fine meridians that distribute ch'i to the brain.

of course yes!! my father do that to me when i'm 10 years old.it works..not just for headaches actually.
from my experience(^,<)
Pain can be referred from places other than the head. This deals with headaches but the principle works for all kinds of pain.
Muscles get knots called trigger points. These make the muscles tight causing them to press on nerves and other thing.
#1 The first thing is to take a couple swigs of molasses or eat a couple of bananas. They contain magnisium and potassium both of which muscles need.
#2 WATER she should be drinking 1/2 gallon minimum. The head of neurology at UCDavis likens a body running low on water to a car running low on oil (the engine can seize).
Get a good (deep tissue) massage (to loosen the trigger points) on the back, shoulders and neck. Make sure to press up at the base of the skull where it meets the spine.
You rub or lightly scratch everywhere on your head. You will hit spots that are tender these are trigger points. The idea is to rub across them 6-12 times per session up to six times per day until they go away.
For more information on trigger points read The Trigger Point Therapy Workbook by Davies.