[unknown] .Together, we have covered most of the options open to you.
For now, Eco 7 looks a good option, allowing you to charge your battery during the Eco 7 cheap period and to use the stored energy to supplement the main period.
All the utilities will have further info about Eco 7. This is a link to Octopus's Eco 7 tariff.
https://octopus.energy/help-and-faqs/articles/what-is-an-economy-7-meter-and-tariff/
As others have explained, you need some way of generating energy to be able to export electricity.
This is where an MPAN comes in.
A smart meter isn't needed for Eco 7 but will allow access to Smart Tariffs, which require the 30 minute readings which Smart meters provide. I am with Octopus and they installed my smart meter free of charge but it may take some time to get an installation date. But all utilities shoudl be able to provide you with smart meters for both electricity and gas.
So, with a battery and no solar, you do have access to some smart import tariffs, but not to export tariffs.
For Octopus, smart import tariffs available would include Agile and the EV tariffs: Octopus Go and Octopus Intelligent Go.
With your setup, Eco 7 is a good starting point and you have a chance to research wider options.
Could you tell us about your battery, size and model, and likewise your inverter.
We have a lot of experience of using many different systems and I am sure that we will be able to offer you more advice.
Rob