might be doable depending on your camping style. Are you an ultralighter or do you prefer more creature comforts of home? If the latter then I would definitely agree with Celia and Remeny. If you are experienced ultralighters then I would look at making a trip of the whole river.
What arrangements can you make to get the kayaks back to the vehicles when the trip is over if you do the entire river?
Kayak Motor Kit
2-3 Canoe/Kayak Trailer