What are your power requirements?
The Tesla power wall is a little bit large to transport, but I think the original concept came from used Tesla car batteries.
https://www.tesla.com/powerwallThere's no reason you can't move the battery packs around, but you may have to disconnect power or turn off your inverter first, depending on the setup. That is to say, all of what you are suggesting is possible. But your particular requirements, which are unknown, will determine how complicated that system would be.
Your biggest risk with moving li-ion is overheating or puncturing. So as long as you safe guard against that, you should be ok.