Hi @rew thanks for posting to feature request! This is currently a feature.
If you want to add Pandora content to your Instagram Story, please make sure you're logged into your Instagram account and you have the Instagram app downloaded on your mobile device.
From Pandora, tap the name of the song, station, album, playlist or podcast you want to share (you can also share the content you're currently listening to from your Now Playing screen). Then tap Share, and select Instagram Stories.
This will prompt Instagram to open on your phone and a sticker with the album art of the content you're sharing will appear in your Instagram Stories. There, you can add text, edit the sticker, and share it as a Story or direct message to one friend, a group of friends, or all your followers.
Keep in mind: your friends don't need to be Pandora subscribers in order to listen to your shared content right away; if they use your Instagram Story to open Pandora they'll be prompted to watch a short advertisement, after which they'll receive a complimentary session of Pandora Premium and be able to listen to it on-demand.
Thanks again for posting!
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