No, it's up to the EU to stop imports from China. It's not possible for individual countries to do it:

- Lab testing is complex, requires to identify the DNA of pollens in honey and few countries can do it at the moment.

- Honeys are mixed, so it's trivial to receive fake honey in a country that allows it, mix it, and reexport to another one that forbids it. Same happens with olive oils, no one cares.

- Many brands just lie, given that there is no enforcement regarding food traceability and safety in general in the EU (it's a meme to reassure consumers). Where I live a brand advertising "locally made honey" was found to sell glucose syrup : nothing happened.