Yes you can have several chargers all working at once.
For example: on my MotorHome:
I have two mppt solar charge controllers and a Dc-Dc charger that runs when the MotorHome is traveling and a Multiplus inverter/charger that runs when the generator is running or plugged in- so if traveling down the road.
So I can have four sources charging the batteries if I am running the generator for air conditioning.