Not really, because the simple counter-argument is that "we just need to put more time/money/effort into it to make it more effective". That's exactly how we got to the horrible place that we are now.
A better argument is to show the actual harm and social costs resulting from drug use, versus that resulting directly from prohibition enforcement. By all rational, scientific measurements the former is absolutely and relatively negligible, while the latter ranges from serious to horrific. The problem is that too many people have a grossly overexaggerated image of the former, resulting from decades of emotionalist and pseudo-scientific propaganda, and no real understanding of the latter.