I use FCP and only have iMovie 4 to fiddle with. But there isn't anyway to zoom in to that area in that as far as I can tell. Later version may have more features that make it possible. Two quick ideas off top of head would be to use effects and transitions to get around it maybe (N-square, some Ken Burns, wipes. for instance) or you could try refilming it (centred) off the computer display or TV and see what the loss of quality was like.
Will think about it more later. But I can make the dog appear out of my nipple I discovered. That was pretty interesting.