Yes. Murder, My Sweet is based on Farewell, My Lovely, a 1940 novel by American crime story writer Raymond Chandler [1888-1959], which itself was based on three of Chandler's short stories: The Man Who Liked Dogs (1936), Try The Girl (1937), and Mandarin's Jade (1937). After introducing Philip Marlowe, private detective extraordinaire, in his first novel The Big Sleep (1939), Chandler refashioned the above three short stories, which did not feature Philip Marlowe, into Farewell, My Lovely, replacing the characters in the short stories with the Philip Marlowe character. The novel was adapted for the movie by American screenwriter John Paxton. The movie was remade in 1975 under the name of the novel as it was originally published, Farewell, My Lovely.