NO. Medicine cannot 'cure' gall bladder stones. It can only palliate the symptoms like pain, acidity etc due cholelithiasis.
But even if the symptoms are relieved surgical removal of gall bladder should be done because otherwise it may lead to serious complications like malignancy (cancer), pancreatitis etc.
Next Steps
Plan an 'elective' surgery.
Take medicines in the meantime.
Health Tips
Take small and bland meals.