Michal Repik, Jason Reese, Milan Lucic and J.D. Watt also scored for Vancouver, which won its franchise-record ninth straight game to start the season.
Ken Petkau and Mark Santorelli, with two each, responded for Chilliwack (1-7-0), which has lost seven games in a row since opening the season with a victory over Kelowna.
After a valiant comeback from Chilliwack that saw Santorelli tie the game with 2:10 remaining, Czibere burst the home crowd's bubble.
The 17-year-old forward parked himself at the side of Chilliwack's net and banged home a puck that had caromed to him off of teammate Kyle Lamb's stick.
It ruined what would have been a huge upset story _ an expansion team knocking off the top-ranked squad in the Canadian Hockey League.
Chilliwack led 2-0 on a pair of goals from Petkau, but Vancouver scored three straight second-period goals to take the lead.
Santorelli tied the game at 11:35 of the third period, sliding the puck past goalie Dustin Slade's right pad.
Watt made it 4-3 at 16:34, backhanding a shot past Bruins goalie Alex Archibald.
That set the stage for the wild final two minutes that saw Santorelli and Czibere trade goals.
Archibald was the story for Chilliwack, making 39 stops including a penalty-shot save off Watt with 25 seconds remaining in the game.
Slade finished with 17 saves for Vancouver.