Well yeah, there are hundreds of thousands if not millions of asteroids out there, but despite what the map looks like, space itself is remarkably uncrowded.
We could take an Earth-crossing asteroid and move it into a non-Earth crossing orbit, and this would be an enormous reduction in impact risk for said object. And the asteroid belt is actually a very dynamic place with asteroids hitting each other relatively frequently [on astronomical timescales, that is], as well as constantly being perturbed into new orbits by the gravity of Jupiter. So changing the orbit of one belt asteroid has long-term effects that are inherently unpredictable, but is not any meaningful change from what the asteroid belt already is.