The Canadian equivalent of the American president is the governor general (has veto power over laws), who is appointed by the prime minister (the English monarch usually stays out of the decision), not elected.
The prime minister of Canada is elected like the American house leader (usually wins a seat in the congress and is selected by peers of the same political party), but the the prime minister has both legislative powers of the American congress and executive powers of the American president.
The better question would be if Canadians could replace King Charles with Donald Trump as King of Canada. As King, Trump could approve Vance as governor general.