Yes, seen this happen in Tasmania, Australia with crayfish, scallops and orange roughy. Each went from free-for-all to highly managed quotas within a few years. Roughy fishing stopped completely back then, don't know what the status is now.
> we don't really know much about how fish live and their overall population
Absolutely yes. Orange roughy is a good example - it was caught by trawlers when they were massed in huge balls near the surface. Easy to get a big catch quickly. Turns out this was when they were spawning, so breeding cycle was being interrupted, which led to catastrophic declines very quickly.