Acupuncture can help to reduce your overall anxiety levels, but it is not a primary treatment for panic disorder. In other words, acupuncture can help to relax you, but it will not eradicate your panic attacks. There is preliminary evidence that acupuncture can help GAD (generalized anxiety disorder), but it is still an adjunctive treatment (McPherson and McGraw, 2013; Zhou et al., 2013). Acupuncture is a complementary treatment at best for anxiety, and can be used along with other primary treatments like CBT (cognitive behavioral therapy) and pharmacotherapy (prescription medication treatment). Acupuncture can also be used with other alternative treatments for anxiety, such as self-help and natural supplements.
So the answer to this question is yes, but it is not a primary treatment for panic disorder.
Treating generalized anxiety disorder using complementary and alternative medicine. McPherson F, McGraw L. Altern Ther Health Med. 2013 Sep-Oct;19(5):45-50.
Impacts of acupuncture at twelve meridians acupoints on brain waves of patients with general anxiety disorder. Zhou XF, Li Y, Zhu H, Chen LL. Zhongguo Zhen Jiu. 2013 May;33(5):395-8.