There are several people here who are bipolar and can give you a much better explanation, but here's my take:
My understanding is that bipolar has a spectrum, just like autism, for ex.
Also, you have a basic personality, so if you're a nice person you can still have high and low energy and mood swings, and if you're a mean b*tch, you can still have high and low mood swings. Underneath it all, you still have your basic personality.
I know several people who are bipolar and their symptoms are similar in regard to energy levels (I have to admit, I love it when they're manic) but they are different in regard to how manipulative they are, or how they express their anger. Two of them strike out at other people and one is wise enough to tell people he's not feeling well, and then go into the basement and throw pieces of wood against the wall in his workshop.
I think that's a very long "yes" answer.