No more than they could possibly be having plans for the iTouch (and by extension iPhone), which is billed as the answer to the Kindle.
Well, that's not true really. There's not a snowball's chance in hell Sony would ever LET them distribute a reader app, no matter how much Amazon wanted to.
Amazon doesn't need to distribute an app for the Sony reader touch. Just the books themselves in epub format instead of their current kindle/mobipocket format.