Yes, but it depends on specific policies at your school and state laws in your state. If your child sends a tweet that disrupts the learning environment of students then he can expect to have the school intervene but it is tricky. Check your school policies. Here is a great blog about thsi top from Charles Lietch, a nationally recognized attorney, working with schools, that helps to explain the thin line schools have to balance regarding social media and school discipline http://bit.ly/zSaQdK
This can be a tricky situation, depending on the school's policies, the exact nature of the message that was sent, and the school context of the moment. Social media present new challenges to schools, and most haven't yet caught up with clear policies so they may tend to make decisions on the strict side. Hopefully this can be turned into a "teachable moment" for everyone involved about the potential dangers and power of even brief social media messages, and how to use good judgment in sending such messages.
Jeanne H. Brockmyer, Ph. D.
education.com expert clinical psychologist