Can the post office buy commemorative stamps issued by the state?

Yes in theory, but not necessarily in practice.

Because the supply of stamps in China is not a "market economy" but a "planned economy".

If you need to make an appointment in advance, sometimes there are few varieties, and the supply is not guaranteed, so you need to draw lots.

The situation has improved in the past two years, and a small number of retail tickets will be sold at individual philatelic outlets.

But whether you can buy it depends on your luck.