It can totally happen. The Leafs could just win every game, never give up a goal.

Justin Holl’s moment of fame before the last two games:

Holl Scores again, New York Doesn’t: Leafs 4 - Rangers 0 - Pension Plan Puppets
The new-look Leafs light it up on Broadway

Sparks Named CCM/AHL Goaltender of the Month – Toronto Marlies
Sparks has registered a 5-0-0-1 record through January, with two shutouts and has allowed just six goals in six starts.

Nikita Soshnikov to report to the Marlies on a conditioning loan - Katya
Two weeks after it was first brought up, the Leafs send off Nikita Soshnikov to get ready to play again.

TSN finds a Maple Leaf to put on their trade bait list - Katya
It’s not Matt Martin, however.

Toronto Maple Leafs Prospect Report: Top 5 players in the system - Sportsnet.ca
In this month's Maple Leafs prospect report, Luke Fox looks at the pipeline and ranks the top five, plus gives an optimistic outlook to another player having a great season of promising development.

Okay, before you argue about how they’ve screwed up goal reviews in the opposite direction, how many more games can the Leafs win?

How long can the streak go on?

Boston, they will kill it dead.35
Forever!46
Until Lou has to trade for someone really good.14
Just beat Boston, then I don’t care.359
From The Branches