You need equal stats to become Lord High Chancellor. It should be possible, but will require a huge amount of minmaxing to achieve. It won’t change much in the actual late game if you do get the title.
@Misa101, that particular path of the game ends around the same, either by poison or old age. Poison if you became known as King’s Pit at a particular period of your knightly career, or if you pissed off a particularly rebellious noble family. If you end up in the Crusades, you will live longer.