Welcome to the forum! It would be no different than if the converter on my trailer died and I hooked up a smart or a stupid charger to the trailer battery. I do this all the time when I'm not camping. I have a small 2 amp charger that I hook up to the trailer battery so that I don't have to keep the shore power cord plugged in all the time.
Most chargers have alligator clamps that you simply clip onto the battery posts.
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2006 23B Hybrid with 10k round bar WDH
2011 F150 4x4 SCREW Ecoboost, Max Tow, Integrated TBC, 3.73 LS axle, Firestone Ride Rite airbags.
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