Yes. In this game, it is called Romani Ranch, it's near the path to the Southern Swamp. Unfortunately, it is usually blocked off by a rock. Simply use a powder keg to get there on the first day, otherwise, wait until the final day.
Lon Lon Ranch is in Hyrule, while most of Majora's Mask takes place in Termina. It can be assumed that Lon Lon Ranch still exists during the time of Majora's Mask, but it's not possible to visit it. Instead, you can go to Romani Ranch and meet Malon's two doppelgangers: the child Romani and the adult Cremia.