"To change the neighborhood" means to make improvements or bring positive transformations to the area where you live, making it a better place for everyone. Full definition
The three schools that draw more than expected are located in changing neighborhoods. (dcpolicycenter.org)
Rather than fleeing from a rapidly changing neighborhood, the church changed its program so that it could minister to the new people. (religion-online.org)
So yes, you can change the neighborhood school. (npr.org)