Could psychopaths, sociopaths and narcissists feel emotion?

Yes: Yes, they are human and feel emotion. Their reactions and the circumstances leading to those reactions may differ from others', though.

Yes, with examples: However, what and how they respond emotionally is radically different than those without these personality disorders would respond. For instance, when caught committing a crime, the sociopath feels anger at being caught and plots to not get caught next time, and feels no remorse. When a mistake is pointed out to a narcissist, the response is often rage, and cutting out that person from their life.