I have a mild yet noticeable breast asymmetry that started fairly recently. is there any way i can correct this without surgery?

Unlikely: Unless it is related to a cyst or temporary growth. Make sure there is no tenderness or palpable knots.

Breast mass: When one breast is appearing different from the other there are many possible causes such as breast cyst, mass, tumor, infection and gynecomastia which is benign tissue growth. An examination by a doctor and imaging with ultrasound or mammogram would be appropriate. Only after a cause is found can one decide if treatment such as surgery would be appropriate. Good Luck!