Yes. As someone else noted, there's an excellent community on reddit for /r/SolarDIY with a lot of people who do this. The standard setup is to buy an offgrid inverter that will take shore power. Size your unit to handle your entire house. Throw it _behind_ your electrical panel so that it feeds all of your house. You're basically building a DIY whole-house battery backup + solar.
The EG4 gear is really popular for this. Don't go quite as cheap on the inverter or batteries as the OP did - you want something reliable, and for doing whole-house you want rackable batteries that you can easily parallelize and that have controllers you can talk to.
The EG4 gear is really popular for this. Don't go quite as cheap on the inverter or batteries as the OP did - you want something reliable, and for doing whole-house you want rackable batteries that you can easily parallelize and that have controllers you can talk to.