Not really. I suspect this is because unlike medicine, lawyers as a collective organization don't benefit as much from an artificial scarcity. MD isn't really a common path to anything other than a career as a doctor, but JD has other practical career paths.

It also differentiates the bar vs. board exams. You can't practice medicine without certification, but there are plenty of lawyers doing law without a bar association, it only constrains you from doing certain types of work.