Shanghai social security has not been paid for 5 years, but can you still buy a house after paying a tax for 5 years?

Yes, according to the provisions of Several Opinions on Further Improving the Housing Market System and Security System of this Municipality to Promote the Stable and Healthy Development of the Real Estate Market:

Third, strictly implement the housing purchase restriction policy.

Increase the number of years for non-resident families to pay personal income tax or social insurance when buying a house, and adjust it to pay for more than two years in the first three years from the date of purchase, and for more than five years before the date of purchase.

It takes 3 years or more for the commercial housing purchased by enterprises to be listed and traded again. If the transaction object is an individual, it shall be implemented in accordance with the purchase restriction policy of this Municipality.