If something bad happens to another human being, I will feel sorry for them. I don't check their bank balance first. Same goes for fictional characters if they're well written.
Rich and poor alike can suffer from mental and physical illness, bereavement, relationship problems, dysfunctional families, bullying, disappointment, or just having a really shitty day. Sure, in some cases a rich person might be in a better position to deal with those problems (paying for expensive private healthcare, for example), but it doesn't change the fact that no one deserves to get sick/lose a loved one/whatever and it will still be a deeply unpleasant experience.
I don't get some people's insistence on ranking people's problems as if there are a finite number of fucks you can give. That's the great thing about human emotion: you can love multiple friends and family members, you can respect multiple role models, you can care about multiple political/social issues, and you can feel sympathy for as many people as you want. Your pity for a starving child in Africa isn't lessened or invalidated by your pity for a rich friend whose pet pony just died...