Can I continue to browse Driftscape while listening to an audio feature?

Yes, you are free to leave the page associated with the audio and explore the Driftscape app. 

When audio is playing, a play/pause button is displayed at the bottom of your screen, so you can control the audio. Audio will continue playing in the background when your phone is asleep. If you wish to return to the page associated with the audio that is playing, tap and hold the play or pause button to return to that page. If you navigate to another page that also has audio, the current audio will stop playing.