No. That's an exaggeration, [1] also known as stretching the truth a little.
The different languages spoken by the indigenous peoples [2] of Alaska and Canada might have anywhere from 2 to about 15 different words for snow.
English has many different snow words as well, such as: slush, sleet, hoar, floe, icicle, powder, rime, avalanche and blizzard (just to name a few). Here is an article from a linguistics [3] professor at Princeton University counting the 15 "lexemes" for snow [4] that he found in the Alaskan Yupik language.
Learn more Snow Vocabulary [5] from the National Snow and Ice Data Center.