Yes. People have died on many roller coasters that are still open today. We can start with Rolling Thunder at Great Adventure (which coaster has had more than one death, sad to say), move on to Shockwave at Kings Dominion, Raven at Holiday World, Roller Coaster at Lagoon, Timberwolf at Worlds of Fun, The Coney Island Cyclone, etc. Just because a roller coaster has a death does not necessarily mean the coaster caused it...nor that, even if it did, the coaster will close forever.
wow im shocked. i never knew that