Yes, though only after Natsuru has completed the current school chapter and is released into the open world.
Cool. Just getting a game over is kinda lame. If I may make a suggestion, I'd like it if the arrest scene features the model being handcuffed from behind (actually, there should be more models showing the characters from behind in general, but that's just my opinion). You don't need to take my suggestions as anything more. It's your game at the end of the day.