Welcome to the forum
since A/C is 110VAC, you would need a whole bunch of batteries and a really high watt rated inverter. In your particular case it's not practical because of the space requirement needed for the number of batteries needed.
You would be better off putting a generator in the back of the truck, and plugging in the shore power.
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2012 Copper Canyon 273FWRET being towed by a 1994 Ford F350 CC,LB,Dually diesel.
Airlift 5000 bags, Prodigy brake control, 5 gauges on the pillar.Used to tow a '97 Jayco 323RKS.
Now an RVIA registered tech. Retired from Law enforcement in 2008 after 25+ yrs.