There’s a ton of lakes in Nunavut that have no names, and a lot have islands, but I imagine you’re talking about this one which is unique in that it has a lake on the island. Which is in a lake. Which is on an island (Victoria island).

I’m not impossible that someone had been there though, it’s only about 200km from Cambridge Bay, and that terrain is actually quite flat and easy to travel over. They also travel all over Victoria island all the time hunting, lots of times very long distance, so it’s entirely possible someone has gone there.