That is an arrangement, which certainly is not up to the gentleman’s guide for public toilets, which states An open urinal should form a wall between us: During off-peak toilet moments, there are bound to be empty urinals. It is the norm to having an open urinal separate us or things will be awkward. Assuming than each brick on the wall has a length of 16" or 406 mm, that means the walls to the left and right are 90" or 2.03 m apart. This is a quite cozy arrangement. Also, how would the pee-area on the left wall be used when there will be two persons already using the front wall?
It’s not that this lifestyle isn’t socially acceptable, but it comes with some disadvantages. As pointed out by others, if you have a partner that is living an opposite lifestyle (“normal” day time work - night time sleep) you both wouldn’t have that much time together being awake and active. Also, another disadvantage is that everyone else is active during your resting time, which is during the day. Loud neighbors, traffic, socializing, etc. Errands, like appointments, are often possible only during daytime.
Attending a nocturnal lifestyle over an extended period of time is also less healthy from the biological point of view.
If your biological preference is set to be nocturnal however, and you can compensate for the aforementioned disadvantages, go for it. Nobody will be judging you.