Maybe. Check your TV's owner's manual and/or give it a try.
Many TVs will only forward stereo PCM from their HDMI inputs to their S/PDIF digital audio outputs. Some will forward 5.1 Dolby Digital. A very few will forward DTS. Most only forward 5.1 audio if the signal source is their internal TV tuner or a network audio source.
Many TVs will only forward stereo PCM from their HDMI inputs to their S/PDIF digital audio outputs. Some will forward 5.1 Dolby Digital. A very few will forward DTS. Most only forward 5.1 audio if the signal source is their internal TV tuner or a network audio source.