How to draw in the nonclient area?

I'd like to be able to do some drawing to the right of the menu bar, in the nonclient area of a window.

Is this possible, using C++ / MFC?

Charlie hit on the answer with WM_NCPAINT. If you're using MFC, the code would look something like this:

// in the message map
ON_WM_NCPAINT()

// ...

void CMainFrame::OnNcPaint()
{
   // still want the menu to be drawn, so trigger default handler first
   Default();

   // get menu bar bounds
   MENUBARINFO menuInfo = {sizeof(MENUBARINFO)};
   if ( GetMenuBarInfo(OBJID_MENU, 0, &menuInfo) )
   {
      CRect windowBounds;
      GetWindowRect(&windowBounds);
      CRect menuBounds(menuInfo.rcBar);
      menuBounds.OffsetRect(-windowBounds.TopLeft());

      // horrible, horrible icon-drawing code. Don't use this. Seriously.
      CWindowDC dc(this);
      HICON appIcon = (HICON)::LoadImage(AfxGetResourceHandle(), MAKEINTRESOURCE(IDR_MAINFRAME), IMAGE_ICON, 16, 16, LR_DEFAULTCOLOR);
      ::DrawIconEx(dc, menuBounds.right-18, menuBounds.top+2, appIcon, 0,0, 0, NULL, DI_NORMAL);
      ::DestroyIcon(appIcon);
   }
}