Is it possible to execute code from the stack in standard C?

The following code doesn't work as intended but hopefully illustrates my attempt:

long foo (int a, int b) {
  return a + b;
}

void call_foo_from_stack (void) {
  /* reserve space on the stack to store foo's code */
  char code[sizeof(*foo)];

  /* have a pointer to the beginning of the code */
  long (*fooptr)(int, int) = (long (*)(int, int)) code;

  /* copy foo's code to the stack */
  memcpy(code, foo, sizeof(*foo));

  /* execute foo from the stack */
  fooptr(3, 5);
}

Obviously, sizeof(*foo) doesn't return the size of the code of the foo() function.

I am aware that executing the stack is restricted on some CPUs (or at least if a restriction flag is set). Apart from GCC's nested functions that can eventually be stored on the stack, is there a way to do that in standard C?