So far, so good.
It not only takes the person with bi polar taking responsibility for their meds and well being, but it often takes a very special and patient partner. Sometime, even with following Dr's orders to a "T", mood swings can happen, which is why I say that it takes a special and patient partner.
Fortunately, I have this in my husband, may God Bless him for putting up with me when my mood swings are beyond my control or understanding. (yes, I take my prescribed meds daily and see my psych, etc.) Life is going to happen and unfortunately, meds are not 100% effective and I personally become over-reactive when it's been a long day or especially trying.
I gave my husband so many outs before the wedding (and some since then) but he says he's in for the long haul. He knew about my depression and the possibility of my bi polar when we first met. The bi polar wasn't confirmed until over a year after we married (5 years after we were together all told).
So, to sum up my verbose response, yes, it's possible for a person with Bp2 Disorder to lead a married life, and to even be happily married.