"Earth to Truthbender......Canada's laws are based on our Constitution and on precedent. British Parliamentary practice has no status in Canadian law."
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Nope, Truthbender is correct on this one, at least from a theoretical perspective.  Canada's Constitution (more specifically the Constitution Act of 1867, formerly known as the British North America Act) very clearly states that our country will be formed:

"[...] with a Constitution similar in Principle to that of the United Kingdom"

That has been confirmed, by the Supreme Court, to mean that any areas where Canada's various Constitution Acts do not specifically mention or exclude something, we default back to the British Constitution.

That would seem to include the ability for someone to be impeached by Parliament, though I think it's pretty certain any such attempt would face a challenge in the Supreme Court and would almost certainly be blocked by such a challenge.