"When Pigs Fly" is a documentary by Phyllis Redman and Eric Breitenbach about a year in the life of Lory Yazurlo, a quadriplegic woman who lives with and cares for 700 pigs.
Links: Official website | Trailer for the movie at YBNBY
And yes, quadriplegia is paralysis of all four limbs, although they may not be total paralysis.