To be fair, China doesn't block access to any websites in Hong Kong. In a sense, it's a freer internet than in the US (zero sites blocked, plus piracy is allowed).
At this moment. There was a piece posted to HN last week that Hong Kong's ISPs have been asked, or fear being asked, to implement a firewall similar to China's.
Hong Kong's ISP association published a public letter of protest about it.
That’s not entirely true. Their response came after a lot of outrage and fear by the general population.
This outrage came after some top pro-Beijing politicians said that declaring an emergency situation is still on the table, by doing so, it would allow the government to block certain internet services.
Pro-Beijing politicians always use harsh language. The same way PLA officers hinted that the PLA could be deployed in HK if requested by the government.