You can, but it results in the situation the article is complaining about.
During a netsplit, people chatting on opposite sides of the netsplit continue to be able to chat (by design), but will (obviously) see a different history from each other. So when the netsplit heals, you have a dilemma: either you splice the history from the other side in, giving eventual consistency at the cost of changing the history that people have already read, or you keep permanently different histories on servers that were on one side or the other.