No. Actor Alexander Ludwig is not gay. He's considered to be heterosexual. He dated Annasophia Robb in 2008 and 2009, around the time they starred together in the movie Race to Witch Mountain. It's recently been rumored that he's dating his co-star from The Hunger Games, actress Leven Rambin. A video was released showing them kissing publicly in Hollywood.
He was born on May 7, 1992 in Vancouver, British Columbia, Canada. Race to Witch Mountain was his first major movie role, then he took time off from acting in movies to attend the University of Southern California. The Hunger Games premiered on March 23, 2012 and soon broke the record for the biggest opening day at the box office for a movie that wasn't a sequel. It also had the third most successful opening weekend of all time.