Not really.
North, by definition, has a terminus, and once at the terminus, all points are South, or up (i.e. off the surface of the Earth).
If you keep heading east, at the 1/2 way point in your circumnavigation, you'll be west of your starting point, no longer east of your starting point.
So in fact, you'll be west and headed less west.
Your one uh them thare smart asses aintcha!