Sure! Here's an example of a simple billiards game implemented in a single HTML file using JavaScript. The game can be played as a finished game on a smartphone. For simplicity, I'll use text-based symbols instead of pictograms.
In this game, the cue symbol ("🎱") represents the position of the cue, and the ball symbol ("⚪️") represents the balls. Users can control the cue position using the left and right arrow keys on their smartphone's keyboard. The game display is updated every time the user presses an arrow key.