Yes, you can connect your mobile device to a TV that supports HDMI. To do so, you’ll need an HDMI cable and a special adaptor that connects your phone to the HDMI cable.
You can also connect your iPhone or iPad to your Apple TV using Airplay. Or, if you have a Chromecast or Chromecast-enabled TV or viewing device, you can use the Chromecast feature on iOS and Android to play SHOWTIME programs on your TV while controlling playback from your mobile device.