Jemmy, sure thing...
Navigate to SETTINGS -> Shipping Setup and click the "Shipping Rules" link (Order Shipping Rules window will open).
Click New Rule button.
From the first drop down select "zip code" so that your shipping rule would read: "orders where zip code ..."
Enter zip code(s) of places you intend to make local deliveries to separated by coma, or zip code range separated by dash.
Set the charge filter to 0.00 for domestic shipping.
example zip codes: 10022,10023,10024
example zip code range: 10022-10024
example of combinations zip codes and ranges: 10020,10022,10024-10028
Please don't hesitate to reply if you have any farther questions
Steve - eez.io support