No. Reflector 2 is designed to screen mirror/cast an iOS or Android device to your Mac or Windows PC. Reflector 2 can only receive AirPlay and Cast connections, but cannot send them to AirPlay/Cast receivers such as Apple TV and Google Chromecast devices. These are limitations that Reflector 2 is bound to. 


There is a way to accomplish this by using the combination of Reflector 2 and AirParrot 2. For more information about how to accomplish this please follow this instructions in the link below: 


http://help.airsquirrels.com/support/solutions/articles/11000017179-how-to-mirror-cast-your-device-by-using-reflector-2-and-airparrot-2-