Yes, twitches are a common reaction to stress and anxiety. Many people get them - some only a few times and some have them forever. I get an annoying eye twitch when I'm very stressed and it takes a few days/weeks to go away, even after I am calm. If your twitches really cause you embarrasement, a re-visit to your doctor may be called for.
best of luck
I have had really bad anxiety for 5 years now. Just a few months ago I started to have dizzy spells and muscle twitches all over my body. I think it is possible for stress and nerves to cause twitches. I myself am trying to figure out if my spells are from anxiety or something else. Good luck.