Pomeranc was born in New York City, New York. His mother, Marion Hess Pomeranc, is an author, and his father, Abe Pomeranc, is a stock broker. He made his acting debut at the age of eight, playing the lead in the film Searching for Bobby Fischer, based on the childhood of International Master Josh Waitzkin. At the time he appeared in the film, he was one of the USA's top 100 chess players in his age group. Pomeranc next starred in the 1995 family movie Fluke starring Matthew Modine, Nancy Travis and Eric Stoltz.