Do any single-cell organisms exist that approximate NP-hard problems within a factor better than $1/2$ $log$2?

I’ve seen on Wikipedia; that set covering cannot be approximated in polynomial time to within a factor mentioned above. Unless $ NP$ has quasipoly-time algorithms.

Now, this must pertain to classical algorithms and does not mention any approximation algorithms that may only work in nature.

(eg. Things like Amoebas solving $ TSP$ problems)

  • Do any single-cell organisms show any promise in solving $ NP$ -hard problems in polynomial-time?

  • Or approximating them better than any known classical algorithms?