Entirely possible. Here is an article meant for small farms
http://www.sheepscreek.com/rural/hay.html. The article is aimed more for saving money when keeping small herds of livestock. It probably talks about cutting a larger area than what you are planning but it does cover the basics and gives you ideas what to type into google for more info. Another useful article is
http://www.motherearthnews.com/libra...gust/Make_Hay__. Hay can be cut by hand but it takes plenty of practice to get the hang of it and you need to be up to the excercise. I would build a small building with good ventilation to store the hay in to keep it cool and dry. Hay set directly on dirt will mold so if the building has no floor lay down a plastic tarp. A poorly ventilated building will hold in moisture and mold the hay.