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The amp rating is what is required on the circuit at that voltage to keep you from blowing a breaker.

You can charge with a generator on the fly, but you'll want to isolate where the generator rests in the vehicle, for exhaust fumes. Generators are also generally air cooled, although forced air, and will require d some fresh air source.

Good idea would be to charge on your rest stops, and stop about every 2 hours for 30 minutes.

Of course, you probably won't do that, so just make sure you properly vent the generator, out run it behind the car in open air.

In some states, a generator trailer doesn't need to be registered, which means you get some extra storage space, as well.