It's very possible , it can be tough at times, but as long as you can both work to stay on the same page , things can work out , you have to make sure your taking care of you and your Bipolar , he will need to stay healthy himself if your in a bad place.
You need to keep Bipolar in its place , Many people allow Bipolar to take over there entire relationships, very unhealthy. Bipolar is there, can't ignore it , but don't dwell on it and let it take up too much space, find support outside you marriage to vent too and rant having other Bipolar people to talk to , well like here on Pc or local support groups , we all "get it" etc, I learned that the hard way, I was overwhelming my husband and it was putting cracks in our marriage.
I think the main thing a spouse needs to understand is they can offer you support but they cant " fix you" My husband had a hard time understanding this ,, " Most men are fixers" So there lies the start of a potential problem.
Honesty, respect and just plain love is needed in any relationship MI or not.
One thing I do tell Bipolar people when they are dating , don't feel like you have to disclose right away that you have Bipolar, Let them get to know you, that will take some time... Who knows you might hit date 3 and decide hes repulsive and has bad table manners
Just take your time..