Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript:
In this game, a random circle is generated on the canvas with a random position, radius, and color. The player's goal is to touch/click on the circle to generate a new one. Every time the circle is touched, a new one with different properties is generated.
Please note that this is just a simple example of a generative art game and can be further expanded and enhanced based on your specific requirements and game logic.