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Local school systems do not accession their records to the National Archives and Records Administration. NARA is principally tasked with keeping the records of the federal government. It accepts some donations from private individuals and organizations closely linked with the federal government, but school systems would not be among them.
What exactly are you trying to discover? Depending on your research topic, there may other local resources such as historical societies, oral history sources (former students of the school), back issues of local newspapers, etc. that might be useful.