There are definitely some cultures out there that survive only by consuming meat and not eating a well rounded diet as we would consider normal. This does tend to cause them some problems in the long run and puts them at risk of developing some neurological problems. Humans are naturally omnivores and so are used to a mixed diet although the balance of this diet has varied over our evolution.
So yes it is possible but it is not particularly good for you
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mrsneymar commented on :
obvss steak is nice