Well, you "lucked" out on that Google search, but usually when you Google symptoms you can't learn anything useful because the same symptoms can be signs of a hundred things or nothing at all, so you just end up being more anxious. It's okay to Google once you get a diagnosis and a treatment plan to make sure your docs aren't leading you down a wrong road, but just Googling symptoms can be an anxiety trap. Don't really know what's going on with you, twitching can be a side effect of medication, it can be an indication of nutritional deficiencies such as magnesium, it can be pinched nerves, it can be nothing at all. Can it be from anxiety or stress? Yes. But anxiety sufferers get all the same problems everyone else gets, so you still need to see the doc if it's something truly bothersome and out of the ordinary. Are you in therapy to deal with the anxiety you got from a truly stressful thing that happened to you? And before you go to the doc, evaluate how bad your anxiety is affecting your life -- docs are prone to giving medication for everything, but they won't cure your anxiety, they will tamp down the symptoms if they work, but if you want to fix it, therapy is one way that might happen, especially given you know where your anxiety originated from -- most of us don't have a clue.
I think it probably can, because I know I twitch like crazy when I get anxious about something (usually my neck twitches for me), but like the other people said it could be something else.