The short answer is “maybe.”  

State anti-bullying laws do not allow you to file a suit against a school district for violating those laws.  The good news is that a school’s obligations to address bullying are not limited to state anti-bullying laws or the school’s anti-bullying policies.  There are federal, state, and local laws that impose additional obligations on schools to address student-on-student or “peer” bullying.  Though none of these other laws specifically prohibit bullying, they may be used to try to stop bullying.