Yes, it is possible for a psychopathic serial killer to also exhibit narcissistic traits. Psychopathy and narcissism are distinct personality traits, but they can coexist in the same individual. Both psychopathy and narcissism are part of the Dark Triad, which also includes Machiavellianism.
Psychopathy is characterized by a lack of empathy, shallow emotions, impulsivity, and a disregard for social norms and the rights of others. Psychopaths often engage in manipulative and exploitative behavior.
Narcissism, on the other hand, involves an excessive preoccupation with oneself, a grandiose sense of self-importance, a constant need for admiration, and a lack of empathy for others. Narcissists have an inflated sense of their own abilities and achievements.
When both psychopathy and narcissism are present in an individual, it can create a dangerous and volatile combination. This person may display an extreme sense of entitlement, a desire for power and control over others, and a willingness to harm or exploit others to achieve their goals. It's important to note that not all psychopaths are serial killers, and not all narcissists are violent. However, the presence of both traits can increase the risk of dangerous behavior in some individuals.