That mechanism is the event horizon, so indeed the black hole could do the work for us. I cannot make direct calculations for this scenario, but I see no reason for it to be impossible. After all, it works perfectly well with virtual particles, which I would think are more difficult to tear away from each other. The probability of such a situation is most likely stupidly small in comparison to a clean fly-by or the whole meson falling into the black hole, but I do believe it to be non-zero. Depending on the actual value it might or might not be a viable energy extraction method.