Sure, here's a sample code that meets your requirements:
This code creates a simple game where there is a green block on the screen. When you touch/click the green block, it displays "Ow!" on the block. If you touch/click it again, the block turns black and the text is removed. You can embed this code into a single HTML file and open it in a web browser, preferably on a smartphone for touch functionality. The green block serves as the game element that you interact with.