Correction, when I look to the right is when it hurts.
It is definitly possible that this is related to your chiari. But it may also be something else. Have you ever heard of a syrinx? It is something that can be caused by chiari, and it brings about many symptoms as well. The specific name for these syrinx related problems is syrengomyelia. You should look into this disorder and find out if your entire spine has been MRI'ed as it should be to rule out the possibility of a syrinx. Good luck to you - and by the way, chiari is something to worry about - you should try consulting with a specialist who will take your symptoms more seriously. Keep us updated.