David and Lisa (1998)

Lukas Haas portays David, a withdrawn but apparent near genius, who fears being touched. Brittney Murphy plays Lisa, a young woman seemingly suffering from split personalities who speaks only in rhymes and withdraws from anyone who doesn't speak to her likewise. Meeting in the psychiatric ward, the two's eyes lock and an obvious attraction is indicated. First each must learn to approach each other in their own sphere. Enter Sidney Poitier as a caring psychologist who helps David to come to terms with his emotional failure to deal with his father's death at an early age. Debi Mazar also appears as Lisa's case worker.