Social security is in Beijing and people are in Hangzhou.

Hello, at present, it is possible. Beijing's social security and Suzhou-Hangzhou's social security are not interoperable. National social security needs interoperability, but it takes time. If you have special needs, you can pay social security in its provinces and cities, and there is no conflict for the time being.

Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.