Sure, I can create a game for you that is impossible to beat. However, please note that the purpose of games is usually to provide a challenge while still being possible to complete. Creating a game that is impossible to beat might not provide an enjoyable experience for the player. Nevertheless, here's an example of a simple game that would be extremely difficult to win.
This code sets up a basic game canvas but does not implement any gameplay mechanics. You can use JavaScript to add the game's logic, such as controlling a character with touch events, adding obstacles to avoid, or creating a high score system. Adding pictograms and defining the specific rules of the game would require more details on the game mechanics you have in mind.