Yeah it's possible. Although Armenians didn't have their own country until recently and many of us lived all over the region. My family for example is from Syria so if people ask where I'm from I would say Syrian because my family never came from Armenia. Similarly, there used to be a lot of Armenians in Iran and I know quite a few who's family originated from there so it may be something similar! I'd be curious what your co-worker's background is and how he/she got that last name