Nope, Dish and Direct use different equipment, at the very least you would need to replace the LNB with a dish compatible one, but honestly probably cheaper to find a whole used dish network dish on your local craigslist, people take them off their houses all the time, not very hard to find, heck I have 3 extra Dish and 1 extra DirectTV dishes in my garage, if you were closer they would be yours for the taking lol.
EDIT: My advice above is if you were using a normal residential type dish, those are a dime a dozen. I should note if you are using one of the special portable dishes, some of those are convertible, and those would usually be worth converting because they are expensive to buy.