Can I apply for a residence permit in Beilun District for social security paid in Fenghua?

Getting a social security card has nothing to do with a residence permit.

Residence permit is an attempt made by some developed cities in China to learn from the "green card" system of developed countries, which has accumulated experience for China to formulate skilled migration measures and eventually form the national "green card" system of China.

Holders of residence permits can enjoy the treatment of local residents.