You can pursue a claim against them if you like. I do not see much in the way of damages from a claim that your daughter is afraid to go to Chuck E Cheese. Not to mention your claim would more than likely be against the parents of the child and not Chuck E Cheese. Without any damages, you will have a tough time finding an attorney to help you with this one.
Regards,
Jeffrey Hughes
It appears that your daughter was not physically injured and so there would be no medical bills. Your daughter has certainly been traumatized, but emotional distress claims are exceedingly difficult to win and usually require bills from mental health professionals. Advancing a claim would be problematic, although talking with an injury lawyer might help you gain a clearer perspective.