As Rosa said, no, but I'd like to complicate things slightly ) by saying that, "на мои взгляд", more common than either, is *onto* - "Your wristwatch has fallen onto the floor."
(My brit. English experience is that of your examples, '...on the floor.' is more common, but not grammatically different. But neither would be used in actual speech. You would probably almost always just hear, "You've dropped your watch!")