The first time I attempted school in my teens and twenties, my diagnosis was wrong, only treating the depressive side and I struggled so. I was in and out of school, 10 years later and I barely made it to my senior year of a Bachelor's.
20 years after that and finally getting the right diagnosis, which let to help with the right meds and therapy, it still took time, 8 years, but did an Associates and a Bachelor's. I started off slow, going part-time, and alternated some semesters part-time or full-time depending on what was going on in life and with medications adjustments, but finally got through. It was a struggle at times but it helped to have support in place the second time such as: with a pdoc and a T to help along the way; PC was a huge support during various times as well; some people have friends and family as a part of their support network to help them get through; and also, some school's disability services recognize BP as a disability and will provide additional accommodations if need be; if not, some of the professors were very supportive along the way and very understanding when had lapses.
School has its rewards and challenges for everyone, even when nothing is going on. Add to it MH issues, and those challenges compound but makes the rewards even sweeter.

If you set your mind to it, you can do it. Go for it.