Only if you insist on using the American 21st century meaning of"Progressive" and applying it to the Canadian political term used a century ago.
The Progressives in Canada had their roots in western agrarian protests, especially around free trade. Many of them were former Liberals who were upset that the Liberals no longer advocated for free trade, according to 19th century English liberalism. The tariff with the US was one of the big issues in Canadian politics at the time, as the Conservatives were protectionist, favoring central Canada industry. The Liberals had traditionally been free traders, but moved away from that to win seats in Ontario. Mackenzie King always viewed the Progressives as dissident Liberals and worked hard to bring them back to the party.
But they were not a party of changes to social justice attitudes, which seems to be the modern US meaning. They weren’t leaders in the fight for women’s suffrage, for instance. Their main focus was economic, to benefit the economic needs of their agrarian constituents.
They became linked to the Conservative party when John Bracken, the Progressive Premier of Manitoba, was lured to the leadership of the Conservatives. He made it a condition of his leadership that the party incorporate “Progressive” into the party name.
That said, even though the Progressives weren’t social justice types,the Conservative Party of Canada had always had the Red Tories, which in modern terms were focused on social justice issues, within a free enterprise framework. Tories like Robert Stanfield epitomized that political philosophy, for example guiding the PCs to support for official bilingualism. Emmett Hall was one of the founders of Medicare, driven in part by his social justice viewpoint. John Robarts, PC premier of Ontario, implemented Medicare in Ontario, partly out of economic necessity, but partly because he accepted the policy.
And then there was Brian Mulroney and John Diefenbaker, both strong opponents of apartheid, while conservatives in the US either looked the other way or demonized Nelson Mandela as a terrorist. For instance, at about the same time Mulriney was leading Commonwealth efforts to bring apartheid to a soft landing, Dick Cheney in the States was still leading campaigns to treat Mandela as a Comminist-sympathizing terrorist.
There can be reactionary Conservatives and progressive Conservatives, and the Red Tory wing of the PCs were the exemplar of that.
And then, it bears repeating that Mulroney did bring in free trade, which the Progressives had advocated. He was not a linear political descendent of the Progressives, but implementing free trade would have made Crerar smile.