Great question! Firstly, make sure you turn the camera on and off to see if that helps. If not, make sure the settings are set to allow wifi connectivity. If neither option helps, then you can certainly repair that without having to replace the whole camera, though it will take a little work. If you replace the motherboard then the wifi components (drivers/hardware) will be replaced with it. You'll only need to buy another motherboard for the Nikon 1 AW 1. Here is a detailed guide on how to do it yourself!
Nikon 1 AW 1 Motherboard Replacement