Yes definitely! Changing boards after class Xth is quite an often things and not just Bihar Board, but you can change your board from any to any other, like you can even go to IB, ICSE or even UP board. So, in short, YES, you can take admission in Bihar board after class Xth from CBSE. All the best!
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile