Yes, your battery can supply a set number of Circuits in your household, providing a critical circuit board has been installed. Please be sure to check with your installer or electrician to confirm this has been setup. The number of amps available depend on your Inverter KW sizing.
Inverter Backup output capabilities are as follows:
3.6KVA – 13.1A
4.6KVA – 18A
5KVA – 21.7A
6KVA – 26.1A