Sure! Here's a sample implementation of the game you described. Keep in mind that this is a simplified version and lacks sophisticated graphics and animations. Also, the actual game logic and mechanics might differ from what you described.
In this implementation, the game starts in a simple environment with two players represented as colored squares. The players can jump by clicking anywhere on the canvas. Gravity is applied to the players, and collisions between them are checked. There's also a green floor, acting as a map boundary to prevent players from falling off the screen.
To enhance the game further, you would need to add features, such as map selection, map transitions, animation effects, scoring, damage calculations, and other gameplay mechanics based on your specific requirements.