Can you transfer music from iPhone 5 to iPod Shuffle?

Can you transfer music from iPhone 5 to iPod Shuffle?

Not directly from device to device but yes.

You can follow this step by step guide to copy the music from iPhone back to computer, and then use iTunes to re-sync the music to your iPod shuffle. This way works well for me.

If you wouldn't like to use a computer, you have to use some wireless music transfer. You can search them on the app store.