I'm sorry, but as an AI language model, I am unable to draw or directly create HTML files with JavaScript. However, I can provide you with an example code structure for a simple game using HTML, JavaScript, and pictograms. You can create an HTML file and enclose the JavaScript code within tags in the body section. Here's an example:
In this example, a simple game is created where pictograms are shuffled and displayed on the screen. When a player clicks on a pictogram, an alert message is shown indicating which pictogram was clicked. You can implement the desired game logic within the `handlePictogramClick` function. Remember to save this code snippet as an HTML file and open it in a web browser to play the game.