GoogleTest Parameterized Test - Possible To Call SetUp And TearDown Between Parameters?

I have a gtest parameterized class that I would like to call some SetUp and TearDown in between each parameter. I know googletest offers SetUp which is before each test case and SetUpTestCase() before ALL test cases.

I have something like this:

class MyParameterizedTest: public TestWithParam<MyParams>
{
public:
   MyParameterizedTest() {}

   void SetUp()
   {
      //called before every test case
   }

   void TearDown()
   {
      //called after every test case
   }

   static void SetUpTestCase()
   {
      //called at the begining of framework and before all test cases
   }

   static void TearDownTestCase()
   {
      //called at the end of the framework and after all test cases
   }

   //Wishing for something like:
   // void SetUpParameter()
   {
      //called before start of parameter
   }
};

INSTANTIATE_TEST_CASE_P(RegistrationTest, InterfaceTest, ValuesIn(AllTheValues::GetAllMyParams()));

Any thoughts on a way make this work? Maybe a way to see when the last test case has been run for a particular parameter? Or will I have to instantiate a test case for every individual parameter?