Can I connect the Phyn device to my network, if I have disabled broadcast of my wireless network name (SSID) so that my network SSID is not visible?

No.  By default, wireless routers broadcast the wireless network name (SSID) so that wireless devices can find it.

If the SSID broadcast setting is changed in the router to not allow the SSID broadcast, the Phyn device will not be able to connect during the Device Setup process.

You must enable SSID broadcast on your router in order for the Phyn device to complete the Device Setup process and connect to the Internet.