Feel free to call yourself a software engineer (or even a software doctor). The titles aren’t controlled and as a result don’t really mean anything.
Another example: the University of Alberta has a software engineering program.
https://www.ualberta.ca/computing-science/research/research-...
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.
It's a bit complicated. In Oregon, for example, someone was fined $500 in 2015 for referring to themselves an engineer; although they had an engineering degree, they were not a licensed professional engineer. The state law was invalidated in 2018.
https://ij.org/press-release/oregon-engineer-wins-traffic-li...
I think some introspection may be required here.