No, Morfin Gaunt did not go to Hogwarts. It is highly likely that neither Morfin nor any of his family members, including Merope and Marvolo, went to Hogwarts. After Salazar Slytherin's exit from Hogwarts, it is also possible that none of his descendants went to Hogwarts. Since the Gaunts believed in blood purity, they couldn't stomach the possibility of sharing classrooms with Half-blooded or Muggle-born students.