I believe that in Canada, and certainly in Alberta, the titles are very much controlled. The regulatory group APEGA has a Professional Engineer designation for software engineers as well
Context matters. Even in Alberta, the term “software engineer” doesn’t mean anything. Last time I looked into this, Quebec was trying the hardest to control usage and they actually took Microsoft to court for their MCSE title.
Another example: the University of Alberta has a software engineering program.
Search on Canadian job sites and you will find hundreds of software engineering jobs across Canada (including Alberta).
Other examples of non-PE engineers include stationary engineer (people who operate boilers) and locomotive engineer (people who operate trains). They may have their own regulations, but it is entirely distinct from Professional Engineers.