Yes, there is a way.
You need to connect a battery and a critial loads panel. A standard 48v server rack battery will work. You can hook them up in parallel to get as much storage as you want (I have 8, so have 40 kwh of storage). The critial loads panel is typically a smaller panel that is connected to the 'load' output of the Sol Ark. All of your important loads can be moved from your main panel to this small panel. I connected everything in my house to my critical loads panel except for stove, dryer, hot water heater and 4 of 5 AC units. The system works amazingly well. I can turn off my main panel now and everything stays on. The lights dont flicker and even the internet router doesnt notice.
Note that the whole reason Sol Ark (and every grid tied inverter works this way is for safety. You dont want to feed power back through the grid when it is down and electrocute some poor worker is out there working on the lines.