No - there is no way to get out of the screen with a swipe right or left and no button to allow you to go back or any kind of interface to go to a different part of the app. “One way street”, so to speak - without a way to go back.
Imagine how many classes are in a week and every time my client checks one of her booking, she needs to shut down the app, restart it, go back to calendar, choose a different class and so on and so on. She is so frustrated.
Would be nice to have a proper back button as a #FeatureRequest.