https://archive.org/details/CharacterInsightEp207
Joe Carey is an assistant chief engineer on board Voyager during the 7-year stranding of that ship in the Delta Quadrant. He becomes chief engineer briefly when his boss is killed in the events of the pilot Caretaker, but he ends up serving under the recently-added Maquis crew member B'Elanna Torres after a short stint with him in charge thereafter. Her engineering prowess forced him to become a staff member rather than the boss once again.
His most notable appearances, and most of them overall, come in this first season of the show. He ends up part of the conspiracy to trade Federation literature for a folded-space transporter technology in the episode Prime Factors, and he is falsely accused and framed by Seska for delivering Starfleet technology to the original Voyager antagonist the Kazon in the episode State of Flux.
QUOTE (upon Torres being named chief engineer in Parallax)
Torres: I hope I can depend on you.
Carey: I can assure you. You'll never get less than my best.
His appearances then become mostly those in alternate timelines, to reflect his time when he was on screen near the beginning of Voyager's journey. He does re-appear near the end of the show, and he is killed during a hostage situation in the episode Friendship One. We learn in this episode that although he does not have the engineering prowess of Torres, he can build a mean ship in a bottle model, which he was almost finished with over the 7 year journey. Hey, everybody needs hobbies.
Joseph Carey is played by Josh Clark. He appeared as an unnamed tactical officer on one TNG episode a few years before his stint on Voyager. Clark remains active today in acting with tons of TV roles on well known shows, including an upcoming role as a Sheriff on Westworld, the HBO series.