Well, the IJN is politically a lot more powerful (they were the Pro-UK faction,) and there's more of a pressing need to keep the Japanese friendly, so yeah, it's a possibility, although the issues from the Paris Peace Conference might prevent it. Turning down the Racial Equality Clause was a massive insult after all, since it was Prince Saionji's baby.
Basically the Army had a China Policy, based on racist expansion later on, though not yet in 1920. The Army had been superior to the navy previously, before the Japanese-Russian War, but now faced the navy as an equal, which was one of the reasons the Army radicalised. It simply did not want to play the secodn hand in Japan and therefore conducted its own policy in foreign affairs.
The IJA was based on nationalistic ideaology very close to fascism in origin, where the landownership and old feodal landlords were combined in the Samurai ideal. Army soldiers and officers were a sort of apprentices of their direct commanders, loyal only to them and the Emperor. The officer corps was closely linked to the old nobility, until reforms in the later 20's. The IJN however was based on scientific research and learning, especially of western model. All naval ranks following the Chinese-Japanese War of the late 19th century, were selected on bases of capabilities, not family, though in higher ranks seniority remained a problem, as age and rank were not always an argument to field the officer in his bast command. (Nagumo for instance is a good example, as he was a destroyer torpedospecialist, not an aviator.)