yes

public function updateFieldLocalAction(){
        Mage::app()->setCurrentStore(Mage_Core_Model_App::ADMIN_STORE_ID);
        $id= $this->getRequest()->getParam('id');
        $customerid=Mage::getSingleton('customer/session')->getCustomerId();
        $collection_product = Mage::getModel('marketplace/product')->getCollection()->addFieldToFilter('mageproductid',array('eq'=>$id))->addFieldToFilter('userid',array('eq'=>$customerid));

        try{
        $upd_local = $this->getRequest()->getParam('local');
        $mp_local_shipping_charge = $this->getRequest()->getParam('mp_local_shipping_charge');
        $product = Mage::getModel('catalog/product')->load($id);
        $product->setData('mp_local_shipping_charge',$mp_local_shipping_charge);
        $product->getResource()->saveAttribute($product,'mp_local_shipping_charge');

        $product->setLocal($upd_local);

        $product->save();

        echo $local = $product->getLocal();
        echo $name = $product->getName();

        $response['message'] = 'Your Product Is Been Sucessfully Updated';
        $this->getResponse()->setBody(Mage::helper('core')->jsonEncode($response));

        }catch(Exception $e){
        echo "Not Saving"; exit;
        Mage::log($e->getMessage());
        }

      }