Negative, it's proof of work. It tries a billion, billion, trillion combinations of DNA and throws them into the chaos of reality with the expectation that one hash out of billions will sustain and move forward, then it does it again, and again, and again, for thousands, millions, even billions of years.
Proof of work is nothing but proof that you brute forced a game of probability. DNA is genuinely, the ultimate proof of work protocol. Its mere existence and insane complexity is proof that it has a billion year history of fucking *work* to achieve what we are today... can't fake that shit. 🔥