You should check to see if the network is available before entering Deploy Studio.
From the Recovery Boot Menu (CMD-R boot method) open the Get Help option (it has the Safari logo) and try to navigate to a webpage. If that is unsuccessful, you don't have network access at all.
In that case, one issue might be that you need to register your device/MAC address with your company's network infra before getting access. I worked at a University and this was the case there. If you need help getting the MAC let us know.
Additionally, you could try connecting via ethernet.
Best of luck.