Kinda.
It is loosely based on the National Geographic documentary about Arctic wildlife also called Arctic Tale.
Metacritic Game Reviews, Arctic Tale for Wii, The far North of our planet is one of the most perilous environments in the world. Product description The gameplay will evolve as the animal's age over eleven stages that take the player from snowy mountains, across turbulent ice sheets that are ravaged by blizzards, and into the frigid oceans that are patrolled by deadly killer whales. Players control a polar bear (both cub and adult) trying to survive in a harsh climate of snowy landscapes. The game is about trying to survive as a polar bear (adult or young), a walrus, a killer whale, or an Arctic fox. Arctic Tale is based on the National Geography documentary of the same name. I honestly wouldn't even know if this is even supposed to be an actual adventure, because the game's missions are often, if entirely, composed of minigames.
Arctic Tale is a video game for the Nintendo DS, Game Boy Advance and Wii. Arctic Tale is a video game where you control a polar bear, and eventually you get to control a few other animals as well, but it's mainly about the polar bear.