Why not? We have games that exist entirely verbally that have always been so. It doesn't seem an impossible stretch to have verbal games that involve mentally

Why not? We have games that exist entirely verbally that have always been so. It doesn't seem an impossible stretch to have verbal games that involve mentally imagining a physical layout, especially because these are aliens we're talking about here who could easily have much better visualization abilities than us. Maybe it would even be an adaptation brought on by an inability to change their environment as well as we can.