I think it's possible you may try this steps..Click on the Radio entry in iTunes’ Source list and find some radio streams you’d like to listen to on your Apple TV. Create a new playlist and drag those stations into the playlist. Select your Apple TV in the Source list, click the Music tab, choose the Selected Playlists option, and tick the box next to the radio playlist you created. Click the Apply button at the bottom right corner of the iTunes window and then click Sync.
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