Is there a fast train between Beijing and Hong Kong on the 4rd October 2014?

Bullet trains are not available between BJ and HK. Only a Q98 is available from Hung Hom Station to Beijing. But for the detail information about this train timetable and price information, you need to contact the HK MTR Company directly. The number is (852) 2947 7888.

Or you can take a Kowloon - Guangdong Train to Guangzhou East Railway Station. Then take GZ Subway lines to GZ South Railway Station, where you can take G-train for BJ.