You could, but it’s not a financially interesting option. It would require a major investment, and you still wouldn’t be able to carry over solar energy from summer to winter.
The Firefly has a 3kW Electricity Power Supply output on its inverter, and if your installer wired this output to several circuits in your home, these circuits can remain live in the event of a power cut. Within 10 msec, this EPS output will switch from the grid to the battery in the event of an outage.