gavra,
Is it necessary to ask a shaila if you can beat your wife? Whatever the answer to that question is, is the answer if it is necessary to ask a shaila if you can publicly embarass a child.
What crime did the child commit?? Being the child of poor parents, who through divine will could not afford tuition? Is this how Klal Yisroel treats each other, let alone its children?
Public embarrassment is equivalent to murder. See Bava Metzia 59a, Berachos 43b, Sotah 10b, and Kesubos 67b how far (i.e. giving up ones life) one is mandated to avoid embarrassing another.