You can, and there’s plenty of choice. After arriving at Auckland Intl. Airport (AKL), make a beeline for the rental car center next to arrivals on the ground floor of the International Terminal, and on the ground floor of the parking lot in the Domestic Terminal. Here you can arrange a booking with trusted companies like Avis, Thrifty and Europcar. If you’re after more options, check out the deals from Budget and Hertz.