Yes! Although there are a few places where it is pretty hard to avoid.

Through Alberta it isn't bad ... boring ... but it has very wide shoulders so cycling on it isn't completely terrifying.

In Saskatchewan there are also shoulders but of questionable condition, and you have to be careful not to fall asleep over your handlebars. You can probably find a better route through Saskatchewan.

In Manitoba the shoulders are gravel (when they exist at all). I've ridden the TransCanada there and it is a terrifying experience. Also, partway along the police pulled us all over and told us to ride somewhere else. I would DEFINITELY try to avoid the TransCanada in Manitoba. There are better routes!!