I'm having severe anxiety..just wondering if this could cause one side body numbness.

Probably not: If you are feeling numbness on one side of the body, you should get it checked out medically.

It could if the: muscles involved in panic are constricting more on one side, thus reducing blood flow. However, this is a bit of a stretch, so check this one out first with a neurologist or possibly a vascular MD. Also, learn to deal with anxiety and see if this makes a difference. Here's a primer: http://www.psychologyproductsandservices.com/page2.html

Am skeptical that your focal numbness is convincingly due to anxiety, but regardless, will add to your anxieties. Exclude central nervous system organic disorders. A neurologist can help