Yes, that's correct. Although is fairly easy to get accredited if you are a member in order of the state association of engineers.
I'd encourage you not to discount professional bodies as irrelevant, or incapable of becoming more relevant, our industry could benefit from it in many ways - perhaps most frequently on-topic on HN is the ethical and whistle-blowing aspect. Also plenty of professional development and networking, and that only improves as more people that get involved from different (or rather one's own specific) areas.
One Canadian university's Comp Sci dept. started offering Software Engineering program one time and it ended up in a lawsuit the outcome of which is... complicated.
Canada is, I feel, very... lot of red tape.
The traditional term "engineer" isn't even a very good description of software dev anyway.
Software dev people should just make a new word up and abandon "Engineer".