Sure, but only if the black hole were moving in a favorable direction. A spaceship steals some of an planets orbital angular momentum when speeding up and gives the planet some when it slows down, but this is only relative to a "fixed" observer, in our case the Sun. Note that the sun is moving too, but in regards to the solar system it is stationary. See here for more: http://en.wikipedia.org/wiki/Gravitational_assistcan we use black hole gravity to help increase speed of spacecraft?
I use to watch documentary about idea to explore solar system, it seem that swing ship across planet and it's gravity can help increase speed of the ship.
can we use black hole in same theory?