yes and no. I am Chickasaw, Cherokee, Choctaw, Catawba, Ponca, Southern Cheyenne-Arapaho, and Lumbee.
I know, lots of tribes. I am around 1/2 and enrolled Chickasaw. Natives can grow facial hair. Mexican people can grow beards and mustaches heavily, because of the Iberian influence. My grandfather does shave every 2 days or so and he doesn't have a heavy beard. Yes, we ndns can grow arm hair facial hair and so on, its just not very heavy. There are many exceptions, but for the most part, if there is any facial hair, its probably not very heavy...
My legal race is Native American/Alaskan Native (although I'm not an alaskan native but there is not one Native American race)