Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript and enclosed in script tags:
In this game, shapes of random colors and sizes will be generated on the canvas every second. You can play the game by tapping on the canvas on a smartphone. Each tap will generate a new shape. The shapes will continue to be generated automatically even if you don't tap. The colors and positions of the shapes will be random, providing a generative art experience.
Please note that this is a basic example and can be further enhanced and customized according to your requirements.