Does China have any similar plans?
Similar plan such as "Electrolysis Hydrogen plant" inside China as
small scale experiment, YES.
Plan of
large scale production inside China, NO.
Plan to build such plant outside China such as exporting to Kazakhstan (
I suppose this is what you are asking), NO, not until China herself is committed to such practice.
EU is basically paying Kazakhstan for land to produce Hydrogen as energy source exported back to Europe. Kazakhstan gains regardless if the hydrogen economy works in practical terms. EU is taking the full risk.
The idea of Hydrogen Economy circle is still in its early infancy, there is a chance that it will never work, heavily investing in it at this stage is highly risky.
Japan is a very good evidence that it does not work, not on the scale of the size of Japanese economy at least.
There is no reason for China to compete with anybody including Europe for the moment, just keep it a small scale experiment in China and watch the development elsewhere would be the best strategy. China's advantage is that it is large, meaning its own market is enough to sustain a full scale eco-system to breed any new technology, the best example is TD-SCDMA LTE/4G and 5G. The dominant 5G is TD scheme which is a Chinese invention during 4G time. That means with the sheer size, China can quickly dominant anyone even if China is a bit late (like 4G) so long as China stay in the game.