Hann-Byrd made his film debut in 1991's Little Man Tate, directed by and also starring Jodie Foster. In 1995, he appeared as the young Alan in Jumanji at age 13, in which Robin Williams appeared as the adult version of the character. He has also appeared in films such as Diabolique (1996) and The Ice Storm (1997). In 1998, he appeared as Charlie Deveraux in Halloween H20: 20 Years Later and in 1999, in Uninvited.