I don't think so, the government is far too powerful to let it get that far nowadays. They can quash it before it gets too threatening like they did with OWS.
I might be too pessimistic. The BlackLivesMatter movement is threatening enough that the government is treating it like a terrorist movement and is referring to its protesters as enemy forces. And they've recently launched a propaganda campaign against Cornel West, who might be the most high-profile activist still principled enough to speak truth to power. So we know they're starting to get scared.
If it keeps getting bigger then something might happen. I hope.