You can! If you click him, it instantly makes him chase your mouse
the hitbox is a little small sometimes and it does click the thing that is behind him too, so not the best, but it is there!
Clicking the shadow seems to work best. You can also kinda play tag by clicking, quick moving away and then baiting him (see earlier comment).
Yeah, I do that sometimes, too. One time, I pulled up an image of a racetrack and tried to make him zoom around on it, lol.