Yes, BP can have a genetic component. You can have a genetic predisposition to it, then it can be triggered by a bad upbringing or trauma as an adult. My mum and I both have BP and BPD. It is very common to have both BP and BPD (I don't know the stats). BP is a psychiatric condition, while BPD is a psychological one. So while some of the behaviours/symptoms may seem the same, the origin and cause are different. So you can have both or just one without the other. BP needs meds, a pdoc, therapy and a strong support network for treatment. BPD just needs a psychologist, therapy and something like DBT to treat it. Having BP means that you have a chemical imbalance in your mind that needs addressing. Having BPD means that you are a very emotionally sensitive person who needs some help with regulating your emotions, stopping bad behaviours and how to effectively communicate with others in interpersonal settings.
Does this help at all? I hope so. Good luck, take care, and keep us informed on your progress and any developments.