Adam Pelech and Bo Horvat scored, and Ilya Sorokin made 24 saves for the Islanders, who are the first wild card from the East.
"We have a lot of work to do," Horvat said. "Obviously, it's do-or-die for us right now, so we [have to] approach that coming here the next couple days."
The Islanders got into penalty trouble early in the game, with Zach Parise being called for goaltender interference at 2:41 of the first period, and Ryan Pulock being assessed a minor penalty for boarding Jack Drury at 3:30. On the ensuing 5-on-3 power play, Jarvis gave the Hurricanes a 1-0 lead at 4:05 with a one-timer near the left post off a pass by Noesen.
Drury, who sustained an upper-body injury on the hit from Pulock, left the game and did not return. Coach Rod Brind'Amour did not have an update on him after the game.
"It was huge on the power play," Jarvis said. "Jack took a heavy hit there and he's hurt, you never want to see that happen. To be able to capitalize on that was huge for us. I mean, 5-on-3, you have to score. You don't get many of those, so you have to take advantage of them."
Necas extended it to 2-0 at 1:15 of the second period on another power play, scoring glove side off a cross-crease pass by Noesen.