Question: Are Delmer Daves and Whit Stillman both directors?

Context paragraphs:
Broken Arrow (1950 film): Broken Arrow is a western Technicolor film released in 1950.  It was directed by Delmer Daves and starred James Stewart as Tom Jeffords and Jeff Chandler as Cochise.  The film is based on these historical figures but fictionalizes their story in dramatized form.  It was nominated for three Academy Awards, and won a Golden Globe award for "Best Film Promoting International Understanding."  Film historians have said that the movie was one of the first major Westerns since the Second World War to portray the Indians sympathetically.

Delmer Daves: Delmer Lawrence Daves (July 24, 1904 – August 17, 1977) was an American screenwriter, director and producer.

Carolyn Farina: Carolyn Farina (born 1963 or 1964) is an American actress best known for roles in the Whit Stillman films "Metropolitan" and "The Last Days of Disco".  She plays the same character (Audrey Rouget) in both films.  She also appears in "The Age of Innocence", which was directed by Martin Scorsese, and "Little Noises", which was directed by Jane Spencer.  Most recently, she appeared in "Whit Stillman's Damsels in Distress", playing a waitress in a diner.

Damsels in Distress: Damsels in Distress (original title: Violet Wister's Damsels in Distress and Whit Stillman's Damsels in Distress) is an American comedy film written and directed by Whit Stillman and starring Greta Gerwig, Adam Brody, and Analeigh Tipton.  It is set at a United States East Coast university.  First screened at the 68th Venice International Film Festival and the Toronto International Film Festival, the film opened in New York and Los Angeles on April 6, 2012.

Drum Beat: Drum Beat is a 1954 CinemaScope western film in "WarnerColor" written and directed by Delmer Daves and co-produced by Daves and Alan Ladd in his first film for his Jaguar Productions company.  Ladd stars along with Audrey Dalton, Charles Bronson as Captain Jack, and Hayden Rorke as President Ulysses S. Grant.

The Petrified Forest: The Petrified Forest is a 1936 American film, directed by Archie Mayo starring Leslie Howard, Bette Davis, and Humphrey Bogart.  A precursor of "film noir", it was adapted from Robert E. Sherwood's stage play of the same name.  The screenplay was written by Delmer Daves and Charles Kenyon, and adaptations were later performed on radio and television as well.

Dark Passage (film): Dark Passage (1947) is a Warner Bros. film noir directed by Delmer Daves and starring Humphrey Bogart and Lauren Bacall.  The film is based on the novel of the same name by David Goodis.  It was the third of four films real-life couple Bacall and Bogart made together.

The Hanging Tree: The Hanging Tree is a 1959 Technicolor Western film directed by Delmer Daves.  Karl Malden took over directing duties for several days when Daves fell ill.  The film stars Gary Cooper, Maria Schell, George C. Scott and Malden and is set in the gold fields of Montana during the gold rush of the 1860s and '70s.  The story follows a doctor who saves a criminal from a lynch mob, then learns of the man's past and tries to manipulate him.

Destination Tokyo: Destination Tokyo is a 1943 black-and-white submarine war film.  It was directed by Delmer Daves in his directorial debut, and the screenplay was written by Daves and Albert Maltz, based on an original story by former submariner Steve Fisher.  The film stars Cary Grant and John Garfield and features Dane Clark, Robert Hutton, and Warner Anderson, along with John Ridgely, Alan Hale Sr., and William Prince.  Production began on June 21, 1943 and continued through September 4 of that year.  The film premiered in Pittsburgh, Pennsylvania on December 15, 1943 as a benefit for crippled children, and was released generally in the U.S. on December 31, 1943.

Whit Stillman: John Whitney "Whit" Stillman (born January 25, 1952) is an American writer-director known for his 1990 film "Metropolitan", which earned him a nomination for the Academy Award for Best Original Screenplay, and the 1998 romantic drama "The Last Days of Disco".  Stillman's newest film "Love & Friendship" premiered in January 2016, starring Kate Beckinsale playing a widow trying to arrange two marriages, one for herself and one for her daughter.

Supporting paragraphs: Delmer Daves Whit Stillman
Answer: yes