Apparently so; I have seen it done several times. I know of a large multifamily building that has ~7 services.
To clarify, in that case there are ~7 pad mounted transformers surrounding the building.
They could be all fed by the same transformer; that is different from what the OP was saying. The double sheetrock may be for acoustic insulation.
Definitely not feed off the same transformer. High voltage overhead on poles down the parking lot. They drop down the pole high voltage and go underground toward building and stub up to a pad mounted transformer. There are sever pad mounted transformers. From the transformers they go underground to the building and rise up to the meter sockets.
We do this kind of thing all the time in PA and NJ. Usually, you need to tell the POCO that there is a 2hr fire break somewhere in between the services. You already have firewalls between the apartments. Often, it's as easy as adding a 2hr rated door in the middle of the corridor. Check with your Architect. They might want Fire Alarm hold-opens for the doors.
I'd probably be running this information through AHJ before starting with it, just in case they have different ideas, even though I believe NEC would allow it.