Can modern cameras (BMCC, Red, Arri, etc) record to a drive over ad-hoc wifi?
Any camera with an HDMI or SDI output can can stream via wifi using a Teradek Cube (http://teradek.com/pages/cube).

This setup will allow you to monitor and record via iOS or computer. It also supports remote recording over the internet (decoder needed). 

In addition to WiFi, Terdek also supports 3G/4G/LTE cellular networks via a USB modem.