Nope. Bipolar or BPD disorder isn't the same as genuine psychopathy. Narcissism is a characteristic of psychopathy, though.
Bipolar and BPD are mood disorders, while psychopathy is a personality disorder.
Narcissism features in Borderline Personality Disorder - note, it is a personality disorder. Other symptoms of BPD which overlaps with Antisocial Personality Disorder is a lack of sympathy, depression. A person suffering from BPD share many of the diagnostic criteria of a sociopath (Anitsocial Personality Disorder is the correct description). Bi-Polar is not the same as BPD. Bi-Polar is classified as a mood disorder. While we all lean more towards one or the other personality type, not all of us suffer from mood disorders.
Diagnosing psychological disorders is a highly specialized field and not something that can be done over a cup of tea. Psychopaths are known to hide their less attractive traits and can even fool a psychiatrist or experienced psychologist. In fact, of all the personality disorders, it could be more difficult to diagnose a Antisocial Personality Disorder than any of the other disorders.
Unless you know for sure that a person is diagnosed with a personality disorder, it is not a good idea to hang labels and 'spread the news'. When your paths cross with a psychopath, you might not even know this until it is way to late to back out. They are extremely manipulative and they don't walk around with a sign on their foreheads to warn others to stay out of their way. Mostly men are diagnosed with APD and trust me, most people will not see a psychopath when he sits in their lounge.
http://www.ehu.es/echeburua/pdfs/Personality Disorders in DSM-V.pdf