It seems to me that the problem with this question is the term "good" does not have a set definition. It's practical application differs from one society, group, and even person to another. If the person and the society have a similar enough view of what "good" means, then yes, you can be both. Even then though, a person with a different set of morals may claim you are not good at all.
I need to go back and re-read it to be sure I'm remembering it correctly, but I'm thinking C.S. Lewis "Men Without Chests" is a good parallel to this discussion.