It is 100% a chicken. the messed up feathers is due to either picking as you guessed plus was likely raised in very crowded conditions.
No turken/naked neck in this bird. These have smooth skin on their naked areas, no 'goosebumps' plus they have a specific pattern of naked skin and this bird does not have it.
It is hard to tell from the pictures if it is possibly a cornish cross or a broiler chick of some sort- there are "slow growing" broilers that don;t get monstrously large so early. The reason for this guess is because typically white chickens are cornish cross, white leghorn and white rock(not so common though). Another possibility is a red sex link rooster, if it eventually grows red feathers on the wing areas.
cornish x/broilers often are pretty calm to the point of seeming tame and they can follow people around mainly because they are perpetually hungry and are hoping for more food.. this might be a hint since it showed up and started following someone.
Edited by Kev - 2/24/16 at 12:58am