Cara was born in London in 2005. She is the daughter of British advertising producer Jamie Bossom, and French film and TV producer Michele Giacobbi. Her paternal great-grandfather was politician and US architect Alfred Bossom. She initially trained in ballet at Danceworks Studios before making her acting debut in 2018 alongside Mark Strong and Joe Dempsie in the 8 episodes of the launch season of the Fox and Epix espionage drama series Deep State. She plays Strong's eldest and bilingual daughter Chloë Easton. Cara appears in the 2020 biographical film Radioactive as Ève, the younger daughter of Marie Curie. Directed by Marjane Satrapi and starring Rosamund Pike as Marie and Anya Taylor-Joy as elder sister Irène, it is based on the graphic novel Radioactive: Marie & Pierre Curie, A Tale of Love and Fallout, by Lauren Redniss with StudioCanal and Working Title Films producing for Amazon Studios. Cara has recently taken up a place at the National Youth Theatre.