Yes, the town there is named Gimli, on Lake Winnipeg. Tolkien used Nordic names for some of his characters. The town and the surrounding area there was part of an Icelandic settlement in the late 1800’s. They have an “Icelandic Celebration” there every first weekend of August. I’ve been to it twice. My mom’s family’s roots are in that city.
I remember when I was there. My father and I went fishing up near Bissett. Beautiful country.