If you want to configure Intel AMTdirectly from unconfigured state into Admin Control mode without need to "touch" it manually (ex. with USB) then YES - you need to have Intel AMT enabled LAN controller on board
If Host Based Configuration in to Client Control Mode (as described above) is OK for you - then you can do it over Wifi (even over VPN/3G/4G, or sending configuration package over email or web server link).
See my answer to your other sub question Remote Provisioning via Wi-Fi question
rgds
Dariusz Wittek
Intel EMEA Biz Client Solution Architect