Chychrun's one-timer from the right face-off circle deflected off defenseman Jani Hakanpää's stick and past Miller at 11:49, making it 3-2. Ducks coach Dallas Eakins then called a timeout.
"If we would have just scored at that point … we would have been jacked up and excited, and I just wanted a minute for us to try to reset," Eakins said. "That second goal was a tough one for us, it ends up hitting a stick and going in our own net. That was a real kick in the butt to us."
Kessel, left alone near the right post, tied it 3-3 with this third goal in four games at 16:39.
"We went to 2 1/2 lines and just pushed the pace," Tocchet said. "It's one of those things where you don't stop believing. But obviously we can't keep a steady dose of this."
Conor Garland and Chychrun scored in the shootout, and 19-year-old forward Trevor Zegras -- playing his second NHL game -- was the only successful Anaheim shooter.
Comtois backhanded the rebound of Hakanpaa's shot between his own legs and inside the right post at 19:48 of the first for a 1-0 lead.
Josh Mahura's goal on a wrist shot from the point off his rebound made it 2-0 at 7:58 of the second and was his first goal since Nov. 20, 2019.
Jones's power-play goal made it 3-0 at 15:46 of the second, and Hill then replaced Kuemper.
NOTES: Six NHL teams have rallied from down three goals in successive games to win against separate opponents. ... The Coyotes are 3-2-2 on a nine-game homestand that ends with games against the Colorado Avalanche on Friday and Saturday. … Kessel has scored six points (three goals, three assists) during a four-game point streak. … The Coyotes have trailed in five of their nine wins. ... Miller was denied his 389th NHL win, which would have tied him with Dominik Hasek for 14th in NHL history.