https://en.wikipedia.org/wiki/Chinese_Lunar_Exploration_Prog...
The main hurdle is the CZ-10 rocket, which has not flown yet:
https://en.wikipedia.org/wiki/Long_March_10
But they have plenty of rocketry experience and the YF-100K engine they'll use for CZ-10 has successfully flown on the CZ-12:
https://en.wikipedia.org/wiki/Long_March_12
https://en.wikipedia.org/wiki/YF-100
(Yes, Chinese rocket numbering is weird, and CZ = Changzheng = Long March)