He appeared in only five movies in the mid- to late 1960s before retiring from the film business following the murder of his close friend Sharon Tate in 1969.
Quarrier began his career in two films directed by Roman Polanski; Cul-de-sac (1966) and Fearless Vampire Killers (1967).
During the making of Cul-de-Sac, the lighting cameraman Gilbert Taylor punched Quarrier in the face following a disagreement.
On 7 October 2008, Quarrier pleaded guilty at Blackfriars Crown Court to the attempted abduction of a five-year-old girl in a busy supermarket in Ladbroke Grove, West London.
Quarrier also received a Prohibitive Activity Order, banning him from unsupervised contact with children under the age of 16 years.