Sure! Here's a simple shooting game implemented as a single HTML file using JavaScript. Since you mentioned using pictograms, I'll use emojis as icons for the game elements. Keep in mind that this is a basic game and can be customized further based on your requirements.
To play the game on a smartphone, open the HTML file in a web browser on your smartphone, and you should be able to control the player using touch events. Shooting can be triggered by tapping the screen. The game starts as soon as it's loaded, and enemies will spawn every second. The objective is to shoot down the enemies before they reach the bottom of the screen.