Is this a common feeling/fear of other people?

I'm very close to my grandfather. I live a few hours away from him now, and I feel bad for moving so far away from him. I worry that something will happen to him and I will regret being so far away and not spending as much time with him as I should have. This isn't like an every now and then fear either. It is a constant battle for me to calm myself down every time I think about something happening to him. I'm a very paranoid person in general, but this subject is especially touchy. Is this normal? Is anyone else like this, because I'd like to know I'm not alone.