To my knowledge there is no evidence that anxiety can cause an allergic reaction. An allergy refers to a sensitivity to specific substances. I would hazard a guess that your anxiety is associated with the reaction rather than the cause of it.
On your behalf I did check Norvasc on drugs.com and the symptoms you describe are listed as 'a serious side effect' for which it is recommended you seek medical treatment. Please click here to read the information.
Hope this helps