Sure, I can help you create a simple game called "Zombie Home" using JavaScript in a single HTML file. Here's an example implementation using pictograms for smartphone operation:
Zombie Home
Score: 0
This game consists of a zombie displayed as a pictogram. Every time you click on the zombie, it will randomly move to a new position within the game container. The goal is to keep clicking on the zombie to increase your score. The current score is displayed at the top of the game.