Is there a connection between alcohol or drug abuse and bipolar disorder?

Yes, definitely. A significant number of teenagers who abuse these substances are really suffering from an underlying mood disorder such as depression or bipolar disorder. Without realizing it, they may be trying to "self medicate" their symptoms of clinical depression or manic depressive illness.
Teens with mood disorders who abuse alcohol or drugs may seek these substances because they temporarily offer relaxation, or help them feel more confident or energetic. Unfortunately, this is temporary and can cause the depression to worsen, resulting in two serious conditions rather than one.