Probably.
Can you do it with some 5kWh server rack batteries for $1500 each, and an inverter/charger?
If the price could be 50% to 66% of your figure, break-even is all that much shorter.
What is round-trip efficiency? One guy calculated low 90%'s, but measured low 80%'s.
I figured that was due to non-ideal load waveforms (but just a guess.)
That linked system says off-grid. Best setup would be grid-tied either exporting (if utility allows you to sell back their own power) or zero-export. Then it supplies your whole house, but doesn't need any particular peak wattage. If you have 5 hours peak rates, only need 4kW inverter to drain battery in that time.
30kwh (really, 24kwh with 20% discharge buffer), is one server rack battery kit from signature solar. I unfortunately don't have hourly peak vs off peak usage so hard to know precisely daily usage patterns. Using the 9102kwh figure from above, that implies a daily consumption of 24.93kwh/day. Some subset of which will be during the off-peak time. So it seems that 30kwh EG4 server rack battery tower will be just sufficient to cover the average day--theoretically 50% of days. I may end up having to add one more server rack battery to increase the percentage of days that don't require paying for peak power at the cost of a longer payback period.
No idea what the round trip efficiency is, I figured 10% was appropriate, but if those measurements are true, then I'll almost definitely need another server rack battery to bring total capacity up to 35kwh.
My understanding of the linked system's inverter is that it acts as a load from the grid, never backfeeding power. So hypothetically, it's no different from some other high amperage power drawing appliance, like a water heater, or maybe electric dryer. I don't intend to backfeed into the grid, although it would be tantalizing to sell off any excess battery storage at the peak rate.
In terms of layout, I imagine some sort of transfer switch between the meter and the panel such that power is either flowing through the inverter and battery system before reaching the power, or directly from the meter to the panel. That should theoretically allow for any maintenance / upgrades on the inverter and/or batteries without disrupting the rest of the house.
I admit to be in the, "this-could-be-a-good-idea" stage. Still a long way to go before execution and installation.