Yes, our closest surviving relative great apes do.
We diverged from them a very long time as well. There are no close relatives alive to us left, because we won that evolutionary competition. Unless you would prefer to start splitting homo sapiens into the currently existing three mainline genetically trees of homo sapiens development we have today (Pygmies, Sub-Saharans and everyone else).
None of our groups practice this.
P.S. "I can escape my nature" is indeed a delusion of Divinity of Man. It is a delusion because it assumes that your mind is more than you. There's even a very clear religious root of this delusion that can be defined, that being the Christianity developing dogma of Trinity and dogma of "Holy Spirit". A spark of God within each Man. Other religions that developed differently either make no such distinction in the first place, or are focused on battle between mind as merely one small part of self trying to gain control over self that is much greater than mind (i.e. Buddhism).
Ever since then, Western cultures that developed under this dogma assume that mind is something that is separate and greater than the rest of the body. "Base nature" is one of the more popular modern ways of addressing this "rest of the body". It's a fundamentalist religious assumption that led to a lot of problems. For example Western medicine long assumed that bacteria are only harmful because if you view everything as separate rather than as a harmonious hole that it actually is, everything that doesn't immediately neatly slot into "definable by mind" is assumed to be a part of "outside of divinity". And we couldn't even begin to address obesity until someone sufficiently disconnected from Christianity based mainline Western culture realized that the most "base nature" one could think of, gut bacteria actually significantly participate in "the mind".
I.e. not only is mind not separate from the body, it is merely a small part of co-evolved cognition apparatus that exists in humans mostly formed by beings that aren't not only definitionally not human, but aren't even multi-cellular.
You can rise above it far less than you can rise controlling your liver function with your mind.