“Could” is the optimal word!
Doing it this way would be technically difficult because V”L is essentially what you could call a protected supply, which would likely interfere with AC RCD’s.
To do this safely you would need a double pole AC transfer switch connected to a backup power supply (V2L) a circuit breaker on the AC side and a suitable RCD for circuit protection.
The prefered way would be to install an isolated battery charger. A separate battery charger directly charges the “off grid” battery system, which importantly would be completely isolated from the AC supply and circuit, therefore would be no earthing or other complications or risks on the AC side. The problem is most inverter used today have integrated chargers, so the need to go out and buy a seperate battery charger wouldn’t be cheap.
The downside of this way is, it will only work with self managed storage batteries, if the storage battery is managed requiring a CANbus to communicate, something tells me it wont work off top of my head.
The other things to take into account are:
The inverter is set up correctly not to draw more than the output of the EV
V2L main goal is to power AC apliances in short bursts every now and again whils’t your out and therefore not designed for continual draw of power for hours on end. To avoild stressing and/or overating the cars inverter, it is better to be safe, limiting the cars maximum V2L rating to around 80%.
I would wait a little longer till V2H becomes available. Bi derectional chargers are starting to appear on the market such as Wallbox Quasar 2 but, its still a niche market today.