I guess it is possible. Anxiety can do some weird things. However, it could also be something simple like you have put too much pressure on a nerve in your arm or something. I know when I am working on my computer for lots of hours for many days, I can have problems with the fingers of one hand tingling or feeling numb and/or my arm will just ache, usually around the elbow. If it doesn't get better you could always ask a doctor. It is probably nothing to worry about though.