You can take train to Changsha South Railway Station (Changsha South 长沙南) and then change train to Zhangjiajie West Railway Station (Zhangjiajie West 张家界西).
The distance from Hong Kong to Changsha is about 860 kilometers. 3 high-speed trains and bullet trains run from Hong Kong West Kowloon Railway Station to Changsha between 08:25 and 17:15 every day. The duration is around 3.5 hours and the ticket prices are USD88 to USD248. The fastest train G80 with a maximum speed of 320 km/h finishs the journey in 3h12m.
There is only one high-speed railway station in Hong Kong: Hong Kong West Kowloon Railway Station, and two major railway stations in Changsha: Changsha South, Changsha Railway Station. All high speed trains and bullet trains depart from Hong Kong West Kowloon and arrive at Changsha South Railway Station.
The distance from Changsha to Zhangjiajie is about 321 kilometers.9 high-speed trains and bullet trains run from Changsha South Railway Station (Changsha South 长沙南) to Zhangjiajie West Railway Station (Zhangjiajie West 张家界西)between 06:15 and 18:33 every day. The duration is from 2h37m to 3h29m and the ticket prices are USD32 to USD106.