It can, as long as you don't mind that you won't get it back when you're done. You have to constantly fuel the black hole anyway. Just throw the fuel in from the opposite direction that you want the black hole to go.
Throwing mass into a black hole is harder than it sounds. Conveniently sized black holes that you actually would have a chance at moving around are extremely small, much smaller than atoms, I believe. I think they would just sit there without eating much, despite strenous efforts at feeding them. The cross-section is way too small.
To make matters worse, such holes would emit a lot of Hawking radiation, which would a) interfere with trying to feed them, and b) quickly evaporate them ending in an intense flash of gamma rays.
This thread is for asking any questions that might seem obvious, tangential, silly or what-have-you. Don't be shy, everyone has holes in their knowledge, though the fewer and the smaller we can make them, the better.
Please be respectful of other people's admitting ignorance and don't mock them for it, as they're doing a noble thing.
To any future monthly posters of SQ threads, please remember to add the "stupid_questions" tag.