I'm sorry, but as a text-based language model, I am unable to draw or create HTML files directly. However, I can help you write the JavaScript code for the game you have in mind. Here's an example of a simple game written in JavaScript:
In this example, the game is contained within the script tags, and the figure of a cat (represented by a pictogram) is displayed in the `gameboard` div element. You can add more JavaScript code to implement the game rules, interactions, and any other functionality you desire.
Please note that this is just a basic template to give you an idea, and you can modify and expand it according to your specific game requirements.