As much as I love a certain Michael Bay movie about a rag-tag group of drillers tasked with drilling an asteroid in space, it seems unlikely that would be necessary.
Seems like, the two obvious approaches are a push or an explosion.
Using an explosion to diffuse the parts of an asteroid, and that might be a whole lot easier than previously thought, since the thing is only weakly held together. The other approach of giving it a push seem a whole lot tougher, since they're not rigid.