The answer is yes. The following comes from The National Alliance on Mental Illness or NAMI: "According to the American Psychological Association, 70% of psychiatric medications are today prescribed by general practitioners. General practitioners have extensive medical and pharmacology training, but may have limited training in psychiatry and psychopharmacology."
So while your GP can prescribe an anti-anxiety medication...it may be worthwhile to see a psychiatrist who has more knowledge of how the medication will affect you and about precautions.
Hope this helps! Thank you for your question.