While "primary psychopath" is not a standard term in psychology, I assume you are referring to someone with psychopathic traits. Yes, it is possible for an individual to exhibit both psychopathic traits and be diagnosed with narcissistic personality disorder, commonly known as a malignant narcissist.
Psychopathy and narcissistic personality disorder (NPD) are distinct personality disorders, but they share some similarities in their characteristics and behavioral patterns. Both disorders involve a lack of empathy, an excessive focus on self-interests, and manipulative tendencies. However, there are also differences between the two conditions.
Psychopathy is generally characterized by a lack of remorse, callousness, and a disregard for the rights and feelings of others. People with psychopathic traits may engage in impulsive and reckless behaviors without considering the consequences. In contrast, narcissistic personality disorder is characterized by a grandiose sense of self-importance, a constant need for admiration, and a lack of empathy for others' needs or emotions.
The term "malignant narcissism" is sometimes used to describe individuals who exhibit extreme and harmful narcissistic traits, combined with other personality disorder features, including psychopathic tendencies. In this context, the individual may display not only the self-centered and manipulative aspects of narcissism but also the callous and exploitative features of psychopathy.
It's essential to remember that diagnosing personality disorders requires a thorough evaluation by a qualified mental health professional. Moreover, the presence of psychopathic or narcissistic traits does not necessarily indicate that someone is dangerous or will engage in harmful behaviors. Each person's presentation and level of impairment can vary significantly.
If you suspect that you or someone you know might have personality disorder traits or any mental health concerns, it's crucial to seek professional help for an accurate assessment and appropriate support.