While logically possible, this has literally almost never been the case. Most times, government programs achieve the opposite of their proposed goals. If we have a bureau for reducing bureaucracy, then it's likely it will in fact grow it. Orwell illustrated this very well in 1984 for example with things like Ministry of Truth. The USA itself was supposed to be an experiment in small government, but now it's the largest and most powerful government that has ever been conceived. If you dance with the devil, you're gonna get burned.