Sure, here's a basic implementation of an Etch a Sketch game using HTML and JavaScript:
In this game, you can draw by touching and dragging your finger on the canvas. It will track your finger movement and draw a line accordingly. When you finish drawing, you can lift your finger to reset the position back to the center of the canvas.
Note: This implementation assumes a touch-based device like a smartphone. You can also adapt it for desktop use by replacing the touch event listeners with mouse event listeners, such as `mousemove` and `mouseup`.