Yes. To play from an iTunes playlist within audio|acacia, simply select the iTunes library source from the left hand drawer in the user interface, navigate down until you reach the "Playlists" header, and then select any playlist from the list. The items of the playlist will then populate the center drawer of the user interface. Tap on any item within the playlist to begin playback of the playlist for the selected listening session.
If you add, remove, or change a playlist in iTunes it will automatically and immediately be updated within audio|acacia. If the playlist doesn't immediately update, try closing and then reopening iTunes.