Once the ZIP code to score mapping is known, it's trivially gameble to get a mailing address in the best scoring ZIP code that won't get you kicked out of your school, if the ZIP code comes from school records. People do this all the time in reverse to get kids into desirable schools.

Actually getting your kid into an undesirable school to get the full score might be less likely, although that may depend on the specific time requirements to get the score and the magnitude of the score related to other factors.