Hi Josh,
Greetings from ShepHertz!!!!
Yes, You can decide the next player turn by writing your own custom algorithm on AppWarpS2. Here you can override AppWarpS2 functionality with the way you need.
You can write custom busniess logic by overriding features of this. You can write your own turn managment logic based on action behaviour of cards.
Please go through with AppWarpS2 Documentation that will help you to understand complete feature. We have provided tutorials that will help you in integratiation and feature extension.
Let me know if more queries are there.
Regards
Vishnu Garg