I don't have bipolar, but I had very severe depression for a long time. I was convinced that no one would ever love me and if they did they would get fed up and leave after dealing with my suicidal despair. But eventually I found a man who didn't care that I was depressed. He was able to recognize the difference between the real me and my disease. We've been married for almost eight years now. So yes, it's possible to have a debilitating mental disease and love. It's harder--I'm sure my husband didn't like having a wife who hid when people were around--but there are good, strong, loving people who will love you no matter what. The trick is finding him and not pushing him away when you do. I know before I met my husband, I pushed people away because I was afraid.
Yes, you can love and have bipolar. Good luck.