I have been working in an insurance company for a month. Can I change my job?

If you change jobs, you can transfer to a new unit and continue to pay insurance. At that time, the duration of insurance payment and your personal account balance will be calculated cumulatively. It doesn't matter if you interrupt for a month. Endowment insurance requires the "cumulative" payment period of the parties, not the "continuous" payment period. don't worry

Article 16 of the Social Insurance Law: Individuals who participate in the basic old-age insurance will receive the basic old-age pension on a monthly basis when they reach the statutory retirement age and have accumulated contributions for fifteen years.

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