The right to bicycle in general is not licensed in the US. However, some roads allow bikes and some do not. This seems to mostly be done in a way to not overly restrict freedom of travel. For example, in densely populated places like the Northeastern US, it's not allowed to bike on Interstates, but that's deemed okay because there's usually a parallel smaller highway that allows bikes. While in sparsely populated parts of the Western US, it's sometimes allowed to bike on the shoulder of Interstates, because it's the only road. However, governments aren't perfect, so there are gaps in the logic, like some bridges that don't allow bikes even though they're the only way to cross a large body of water for miles and miles. I'd like to believe that a legal challenge to allow bikes on such bridges, or to require the government to ferry bicyclists over such bridges, would succeed.
I got stuck on the non-downtown side of Shanghai once because I assumed that I'd be able to walk or bike across at least one of the bridges. But I couldn't find any way to get across. I had to wander around until the metro opened back up in the morning to get back across (and make it to flight in time).
When i first visited Shanghai in 1989, there were no bridges or tunnels between the Bund sid eof the river and the Pudong side, only the ferries. (pudong was mostly farms.) The ferries are less used now, but there are still some in operation, incluidng some that run 24 hours a day:
