Not likely, First the specified battery bank is 200 amp hours (A pair of GC-2 Deep cycle) per 1,000 watts, so you need more battery
Also you need about a 000000 ga wire from the alternator to the batteries, and from there to the generator. I'd go 200 amps at idle on the Alternator minimum, and expect it to be a short lived alternator.
You are much better using a nice Quiet Inverter generator.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times