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What would happen if an asteroid (say 30km) impacted a neutron star? Mind you, that rock would be larger, although much less massive. Is it possible for something like that to blast off material from the star?

I imagine something like a black hole feeding, the asteroid flattened into a disk and heated up, jets of x-rays from the magnetic poles of the star.

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It would undergo something like the crab nebula. The mass would vaporize, but continue in toward the star, accelerating into the gravity well. The electrons would be stripped away as the nuclei accelerated, and eventually (eg, nanoseconds) the nuclei would either bounce off or be absorbed into the outer layer. Probably some of both. From space, it would just look like a bright puff.

Mind you, that rock would be larger, although much less massive. Is it possible for something like that to blast off material from the star?

I doubt it. Second neutron star on the other hand...

http://en.wikipedia.org/wiki/PSR_J0737-3039

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