It's certainly possible to have one on a CAA permit, with some work required. My girlfriend owns one. I'll tell her to get on here and explain.
It's often mentioned on websites and in magazine articles that the CJ-6 is a Yak 18 derivative. There is an active CJ6 community in the USA and 2 years ago they had the original designer of the CJ6 over from China. He was rather offended with all the Yak 18 derivative talk and claims it as a completely different design, indigenous to China - albeit with a very similar look.
There have been about 2000 built so spares and engines are not any trouble at all - particularly as the whole plane is back in factory production. They have exhibited at Oshkosh the past two years offering brand new machines.