Sure, here's a simple implementation of the game you described using HTML and JavaScript:
To play the game, you can save this code into a single HTML file and open it with a web browser on your smartphone. Tap the screen to make the player character jump, and hold the tap for longer jumps. The objective is to avoid the obstacles that are generated in the level. If you manage to avoid 10 obstacles, the game will get harder by increasing the obstacle speed. If you beat 3 levels, you win.
Note that this implementation is a basic version and can be further improved and expanded upon based on your specific requirements and needs.