Yes, you can give your home back through your bankruptcy case. It is called a surrender.
Your mortgage company may file a Motion For Relief From Stay in bankruptcy court. This allows the mortgage company to begin foreclosure proceedings.
This answer does not create an attorney/client relationship and is for informational purposes only. We are a law firm licensed in Georgia. A consultation with a qualified attorney in your area is required to determine specific legal advice as to your situation and applicable law. We are a law firm designated by Congress as a debt relief agency. We help people file for bankruptcy relief under the bankruptcy code.