I have heard to new grads going into school nursing, but it is not common, and it would be lonely and difficult unless you were one of two RN's in a big school or had very good mentoring or supervising. The new grads I am aware of were in those situations.
I had a student who wanted to do school nursing and I encouraged her to start in acute pediatrics before applying to schools. Unless you hve very heavy clinical experience, I don't think new grads assesment skills are developed enough. Plus you cannot go out the door and grab a more experienced nurse when you are confronted with a rash or group of symptoms you've not seen before.