If your Boot Drive is not responding, then Recovery mode (which boots from a small, separate partition on the Boot Drive) may not be available either. That can cause your Mac to attempt to use Internet Recovery, and will usually display a spinning globe.
Internet Recovery tries to get the Utilities need for recovery (and re-download) from the Internet, and present them to you. Internet Recovery (if your MacBook Pro from after about 2011 has that in its Firmware) has a set of strict requirements, especially concerning the setup of your Wi-Fi Network.
-2002F is said to be a Network error while trying to connect to an Apple server.
This article lists most of the attributes of your Wi-Fi network to make the connection. In addition to these, the Network-name can not be hidden.
OS X: About OS X Recovery - Apple Support