Is it possible to control the shutters in the same group starting in sequence rather than all at once to prevent an electrical overload?

Yes, first create a scenario with the shutters in the desired position and then from the Settings menu of the group select each shutter actuator and, via the "command activation delay" setting, apply different delays for each actuator. A difference of 4-5 seconds between each actuator is more than enough to prevent triggering circuit breakers.