They do exist. My mother-in-law was both an Appalachian native (as well as being 3/4 or so Native on top of that) and a vegetarian.
Although she was known to have shot a rattlesnake or two. They made very fine belts after she got done with them. She just didn’t eat them.
Then again, the MIL wouldn’t have starved, either - large garden, some knowledge of local wild foods, small orchard on her property, and an extended family.