No. No VB on the inside. You already have one on the outside. When moisture gets into the wall, how is it going to dry out? Not only is it a code violation, it's a recipe for rot and IAQ issues.
Check out these articles:
Do I Need a Vapor Retarder? | GreenBuildingAdvisor.com
All About Wall Rot | GreenBuildingAdvisor.com
@ mikesolar, the first one describes the various classes of vapor retarders. In it there is also a link to a BSC paper on the subject.