Honestly, if it's in piece already, I'm sure you could do it.
I have moved across country in my little Mustang, and that included a bed, desk, dresser, and a bunch of boxes. And I don't even have a legit trunk.
However, another option could be to attach a tow hitch your car, and rent a trailer (they're 40 from Uhaul and about 150 for the hitch). The bike+trailer wouldn't weigh more than 1200 pounds.
This dude towed a boat...
And the hitch:
http://www.autoanything.com/towing/Mazda/3/111A50740A50737A0A26A1101A1.aspxAnyway, I have plans to attach one of these to my stang sometime in the future... at least if I don't buy a truck first.