Nope. One of the main points of bitcoin is that it's a crytocurrency, and designed to be unregulatable.
Well, that may be so. Until you need to touch regulated points (i.e convert bit coins from internet snakeoil to real world currency).
The regulators could either make it very difficult, or simply downright ban the conversion of bitcoins into real currency.
At the moment you can get a bitcoin ID without undergoing KYC..... all they need to do is enforce a KYC requirements for bitcoin IDs where that ID will be used for certain transactions. Anonymous bitcoin IDs would still be allowed, but would be restricted in terms of the transactions they could undertake.