Arthur Olsen Ihlen f. 7.8.1885

Looking for grandfather Olav Arthur Valdemar Ihlen born in Drammen, he used the name Arthur Olsen and was working as painter in about 30 states, from around 1905-1907 and 14 years. Mostly in Wisconsin i think. We dont know anything about his life in America. Dont know the boat and aparture dates. Is this a lost case??