Impossibility rhymes with:
inflexibility, miscibility, sensibility, collectibility, convertibility, fallibility, incompatibility, indestructibility, infallibility, inflexibility, miscibility, plausibility, sensibility
inflexibility, miscibility, sensibility, collectibility, convertibility, fallibility, incompatibility, indestructibility, infallibility, inflexibility, miscibility, plausibility, sensibility