A great deal depends on how the problem is being generated. It usually manifests in a pinching of one of the nerve roots in the neck, and if the cause is physical and of this nature, then acupuncture will have little long term effect, although it may be of value in bringing some form of temporary relief. If the pain is not arising as a result of pressure at the nerve root, there may be more hope
One of the strengths of acupuncture and Chinese medicine is the different understanding of the physiology and pathology of the body. This often allows it to make sense of a symptom or a group of symptoms in ways which are different from western medicine, because whatever system of medicine one employs, the patient's account of what they feel and the visible signs are the same. Chinese medicine has developed over 2000 years with a system of its own for classifying pain and discomfort by location, strength, heat or cold nature, how it feels - sharp, dull, etc, and has a number of ways of making sense of symptoms like yours which may help to reduce the level fo discomfort you are feeling.
The best course of action is to see if one of our members local to you is happy to spare you a little time without charge to assess briefly whether your specific problem is one which they feel they may be able to help.