They might, but the main problem is the Certificate of Capability for the team event (meaning 3 riders with MER by December 31, otherwise team quota is gone).
China will probably find the away. Alex Hua Tian is already established at the highest level, while Sun successfully stepped up to 4* last month... Hong Kong has some experience (Heffernan Ho competes at 4*, Lam is already show jumping Olympian). Thailand is just hopeless though, at least for now...