If you move your gaze quickly, yes. Just start erratically moving your eyes and it seems your brain can't keep up and everything will be a blur. But also keep

If you move your gaze quickly, yes. Just start erratically moving your eyes and it seems your brain can't keep up and everything will be a blur. But also keep in mind that even when you're looking at a stationary object, your eyes tend to move a lot. If you noticed the blur from tiny movements too, you'd have a very hard time seeing anything. Reading would be quite difficult, for example.