No, Canada is a mature democracy so it would take several years and stages to become a one party communist state.

But, in the words of Chairman Mao, "the longest journey begins with the first step".

In the Canadian context, the 1st step would be changing the electoral system to ensure one party (Liberal) rule as in a preferential ballot system or creating a one party media.

It seems the one party media may be the easier hill to climb.  You do this by continuing to build up funding and staff for the government media (CBC, PMO, departmental information units, etc.) while the market sector media continues to bleed money and staff.  Eventually, you have a one party media as in Cuba, China, North Korea, etc.

And if the communist government of China continues to buy up the property, mountains, retirement communities, high tech companies with military contracts, etc. in BC and then in the GTA and manages to buy off many politicians as in Australia, this will speed up the process.