Lucrehulk are restricted tech, meaning that only the Trade Federation own and produce them for faction use, and do not release it for the public.
There is a lucrehulk wreck who often appears on the market, you should try to look for it... unless you are able to become highly ranked in the TF, it is the only way for you to get this baby.
Anyway highly unlikely. Its extremely restricted tech, and even the wreck is pointless - it just looks like a lucrehulk but as far as I am aware you cannot enter it, and won't be able to repair it.
As for making them, its like pretty much any other ship, just get a big enough shipyard, materials, get the DC assigned, get some workers, make sure everything is with a ship faction, then start it while you are in the ship faction.