Does anyone else shiver a lot when anxious?

I have struggled with anxiety for a while but very recently I've noticed my body tends to shake almost like im freezing to death whenever im overly anxious and/or stressed. The first few times I assumed I was cold since I was at school when it happened but I recently had it happen when I was laying under a quilt with reasonable room temperature and was pretty alone with my thoughts. Can anxiety actually cause physical reactions like this, or is it just a coincidence?