i don't understand what societal problem you do you mean here - the prohibition or the alcohol. If you mean that the societal problem was the prohibition then we do know that it was solved by the bootlegging at a massive scale which relied on using cars and machine guns with modern communication of the time - telephone - playing a significant role too. If you mean that the problem was alcohol - i don't see where and when it was solved at all.
Bad laws become "bad" and get repealed when they become untenable to maintain. Cars, boats, planes, guns, drones, global financial system, crypto, social media, scientific development of our understanding of addiction - it all leads to the untenability of the current drug regime and the resulting progressive decriminalization we see.
Clearly that's incorrect though. We're only seeing legalization of socially acceptable drugs. Tech has nothing to do with it.
Nobody is fighting for meth, cocaine and heroine to become legal in the US. We also have plenty of prostitution going on thanks to technology but that won't be legal anytime soon either. It will happen when people decide they're OK with it, not because technology makes it easy.