Yes, it is possible to have Bipolar and Psychosis. It is common to have more then 1 infliction, not just Bipolar.
Hang in there, hun. And if you're not getting the answers you need, or the connection you need to feel comfortable with your therapist or your P doc, be willing to change until you find who makes you feel better with...whom it's easier to share and discuss things with.
Hope this helps.