I think generally that would be fine. Not sure one can say definitively without seeing the equipment and knowing if the utility has any funky rules, but I've never had a problem doing it.
If there are less than 6 meters I think you typically find that each meter feeds to its own service disconnect, in which case there are no stringent rules for the conductors on the line side and thus the other meters and service entrance conductors really don't matter. So that's pretty much a slam dunk.
If you have more than 6 meters you would typically (and by code) have a main service disconnect upstream of them, and strictly speaking you have to consider the load side rules in 705.12. However since meter centers aren't panelboards, and since each meter typically has a feeder overcurrent device on its load side, you typically end up complying with 705.12(B)(1)[2020 NEC reference] without modifying anything on the line side of the house panel main breaker. There could possibly be some ticky-tack issues with a real persnickety AHJ but that hasn't happened to me (cross my fingers and knock on wood).