Sure, here's a simple example of a generative art game implemented as a single HTML file using JavaScript:
This game consists of a canvas element where generative art is displayed. Each time the game starts, random shapes are drawn on the canvas. When the player touches a shape, the game alerts the RGB values of the color at the touch position. After that, the canvas is cleared, and new art is generated.
Please note that this is a simple example and can be further expanded and customized according to your specific requirements and design preferences.