Nope, I've just tried to turn them so they seem less likely to bind or jump over the perches.
But normally there is a passenger/driver side. But from what I recall you reverse that in the US (left hand drive/more weight). But they are hard to get to sit level.
Exped Exch goes to the trouble of opening each box and sending you 2 drivers or 2 passengers to avoid the disparity in height. Even then you may have some lean.