I don't see why one couldn't. I've trailer launched some R22s (much lighter, but 4.5 foot draft) and a C&C 24 (4' draft, 3,200 lbs) amongst others. Depending on where you are, finding a ramp that's deep enough can be an issue, but if you call around you can probably find one. You will need some sort of tounge extension for your tailer or you can just use tow straps or chains (or both, don't really want to lose it) to get it deeper without taking your tow vehichle for a swim. Having 4wd is nice, if not essential. There is a member at my yacht club who has a Catalina 25 fin keel he keeps on a trailer sometimes.
Not something I think you would want to do all the time, but it certainly can be done.
Cape Dory 28 "Dulcinea"