(Not officially, but this is a quick work around)
1. Create another empty playlist.
2. Go to your playlist that you want to shuffle.
3. Press Shuffle button
4. Start track 1 from your playlist.
5. Go to Play Queue (this will now show the playlist in a shuffled play queue)
6. Copy tracks from Play Queue back into your empty playlist.
Your new playlist will now have the same songs, randomly arranged as per the shuffled Play Queue.