from what I have seen , the answer is no in the adult mouse if aging is not associated with liver injury. Then I would say depending at what genes you are looking at, If you are looking at the glucose metabolism or lipid metabolism I would not be surprised to see some of them slightly altrered by the age in their pattern of expression from the periportal to the periveinous area, these patterns could be maybe a bit less restricted and also in this case the nutritional status could be key.
Just to be clear in regards to my previous answer, what I meant is some enzyme could maybe a some increased or decreased expression on their opposite side (veinous vs portal) but overall i don't think that liver zonation is altered.