You can't move a mouse but can lock it. Note: that you must call requestPointerLock in click event.
Small Example:
var canvas = document.getElementById('mycanvas');
canvas.requestPointerLock = canvas.requestPointerLock || canvas.mozRequestPointerLock || canvas.webkitRequestPointerLock;
canvas.requestPointerLock();
Documentation and full code example:
https://developer.mozilla.org/en-US/docs/Web/API/Pointer_Lock_API