Question: Are John Greyson and Lucky McKee both directors?

Context paragraphs:
Chris Sivertson: Sivertson's first film was "All Cheerleaders Die" (2001), which he also wrote and directed together with Lucky McKee.

Lucky McKee: Edward Lucky McKee (born November 1, 1975) is an American director, writer, and actor, largely known for the cult 2002 film "May".

Sick Girl (Masters of Horror): Sick Girl is the 10th episode of the first season of "Masters of Horror".  It originally aired in North America on January 13, 2006.  It was directed by Lucky McKee and based on a story written by McKee and Sean Hood.

May (film): May is a 2002 American psychological horror film written and directed by Lucky McKee in his directorial debut.  Starring Angela Bettis, Jeremy Sisto, Anna Faris, and James Duval, the film follows a lonely young woman (Bettis) traumatized by a difficult childhood, and her increasingly desperate attempts to connect with the people around her.

The Lost (2006 film): The Lost is a 2006 American psychological horror film that was written and directed by Chris Sivertson based on the Jack Ketchum novel of the same name.  It was produced by Lucky McKee.  The film stars Marc Senter as charismatic teen sociopath Ray Pye.  Senter won best actor awards from both Screamfest and Fantaspoa film festivals.  He was also nominated for a Fangoria Chainsaw Award.  Supporting cast include Shay Astar, Alex Frost, Michael Bowen, and Robin Sydney.  The movie had its world premiere at the SXSW Film Festival with a limited theatrical release following shortly after.

All Cheerleaders Die: All Cheerleaders Die is a 2013 American horror comedy film written and directed by Lucky McKee and Chris Sivertson.  It is a remake of their 2001 film of the same name that was also written and directed by McKee and Sivertson, and stars Caitlin Stasey as a cheerleader who must fight against the supernatural.  The movie had its world premiere on September 5, 2013, at the Toronto International Film Festival and had a limited theatrical release in June 2014.

The Making of Monsters: The Making of Monsters is a Canadian short film, directed by John Greyson and released in 1991.  Made while Greyson was a student at the Canadian Film Centre, the film's premise is that Bertolt Brecht is alive and living in Toronto, and actively interfering with the production of a heavily sanitized movie of the week about the 1985 death of Kenneth Zeller in a gaybashing attack.

John Greyson: John Greyson (born March 13, 1960) is a Canadian director, writer, video artist, producer and political activist, whose work frequently deals with gay themes.  Greyson is also a professor at York University's film school, where he teaches film and video theory, film production and editing.

Glenn Schellenberg: Glenn Schellenberg is a Canadian composer.  He is a frequent collaborator of director John Greyson, having composed the music for three of Greyson's films.  For one of these films, "Zero Patience", Schellenberg was nominated, along with Greyson, for a Genie Award for Best Original Song for the song "Just Like Scheherazade".

The Woman (2011 film): The Woman is a 2011 American horror film directed by Lucky McKee, adapted by McKee and Jack Ketchum from Ketchum's novel of the same name.  This movie is a sequel to the film "Offspring".  The film stars Pollyanna McIntosh, Angela Bettis, Sean Bridgers, Lauren Ashley Carter, Carlee Baker, Alexa Marcigliano, and introducing Zach Rand and Shyla Molhusen.

Supporting paragraphs: John Greyson Lucky McKee
Answer: yes