Relativity aside, something going the speed your mention would only hypothetically be able to escape the black hole before the event horizon. After it crosses the event horizon it could no longer escape the black hole's gravity.

But I think the answer to your question is no, since the faster something goes the higher it's mass. To reach the speed of light for anything with mass is effectively impossible, as at the speed of light any thing (no matter how small) would have an infinite mass and therefore require infinite energy.