Stabin was born in Brooklyn. His, father, Jack Stabin, invented scientific instrumentation and worked on the Manhattan Project. His mother Florence was a piano teacher in Brooklyn.
Stabin began his formal education as an artist at the Art Students League of New York attending summers from age 13 to 17. He also attended the High School of Art and Design from which he graduated in 1972. He then studied at Los Angeles' Art Center College of Design before continuing his education at the School of Visual Arts in New York City.