Err, wouldn't the chickens be kinda noisy and smelly? I doubt the neighbors would love that.
Plus, I wonder if there are zoning issues for this kind of thing.
Also, seems like a fair bit of work and money for something you can buy a near equivalent of at the store for a dollar or two once every couple weeks. (Says the guy who spent probably around $150 and a fair bit of sweat last year putting in my garden from which we've harvested perhaps $30 of produce so far).