Of course he does. Anyone away from home is feeling like that right now. There are so many of us who moved to different countries for so many reasons. We watch the news from home and it's as terrifying as it is here but we won't be able to travel over there if anything happens, especially if we are high risk. We're worried sick about elderly relatives, friends with health issues, it just brings home how very far away we are from home even if it's just across the pond.
Harry is no different, he's human, an adult who made a decision on what direction his life was to go in. Still doesn't stop the guilts though. You would have to be a cold hearted creature not to feel like this right now if in a similar situation.
JMO