More would have to be known about the specific incident - so the answer is a qualified - maybe.
For instance: If a school staff member was present - OR - the questioning had something to do with allegations that the child was being abused by their parent(s), yes, they could.
What is being asked? The question is incomplete.
If the alleged abuse is about the parent then yes.
Yes, but it's a better idea for a lawyer to be present.
Yes
yes
Did the crime just occur? Is the juvenile stopped on the street? Is the juvenile in custody? Unable to answer without more specific information about the event. (????)
If you are suspected of shoplifting, yes. They usually have an officer present however.
Police are able to interview the child at the school with the principal present in cases of suspected child abuse, however, I cannot find a law that specifically prevents you from or allows you to interview the child but I would definitely not recommend it without a police officer also present. Odds are if you involve the parent you are more likely to get the truth anyways (unless you are dealing with teenagers in which case you should definitely involve your resource officer; that you could probably do)
No it isn't the child must be 16 (i think)
Yes but it depends if it involves the parent
In the state of Texas can a police officer go to the school and question a minor student without their parents
If the question is an incriminating one then absolutely not. Example: Did you break the window next door? If the question isn't incriminating then yes. Example: Did you see where the robber ran?