It is possible to register a domain name with the IP address of the wifi network to use it later in iis.
I've tried the website is only Displayed for computers That Same are connected to the WiFi network does not Appear in the other network.
It's POSSIBLE to do this, but why would you want to? Most WiFi "network" devices are Wireless Access Points and/or hubs that already have an embedded port80/443 web service. You would be pointing a domain to a pre-existing (and non-modifiable) host.
Can you be more specific about what you want to do?