You can create islands of manipulated entropy. One example is you or any other living entity. The answer is you can decrease entropy, maintain constant entropy but not in the closed system.
Your goal is to create lifelike systems to manipulate the speed of change of entropy both ways.
If the path from a low-entropy state S2 towards a high entropy S3 is not monotonic, i.e., if there is an intermediate state of even lower entropy S1 that must be passed through to get from S2 to S3 (S1 < S2 < S3), then the transit from S2 to S3 is slowed down by a ratio exp^(S2 - S1)/k, where k is Boltzmann's constant. The entropies S1, S2, and S3e are TOTAL entropies of the system of interest plus its surroundings combined.
At extremely low temperatures entropy S -> constant and therefore to a small value. That is called the Nernst theorem or 3rd law of thermodynamics.
S can be slowed by decreasing the number of degrees of freedom, at very high temperatures molecules move and rotate, if T is decreased, then the rotational degrees of freedom are suppressed and S is slowed down, since the number of microscopic rotational states Nrot -> 0
S = kB ln W & usually W ~ eN but the real problem is that N is a huge number of microscopic states in a system, so if T -> 0 K then N can be reduced.
Please look at the numerical example in the following Open Learn resource:
Moore, Justin Shorb, Xavier Prat-Resina, Tim Wendorff, E. V., John W., & Hahn, A. (2020, November 5). Thermodynamic Probability W and Entropy. Chemical Education Digital Library (ChemEd DL). https://chem.libretexts.org/@go/page/49564
Please, look at the value of W in the example 16.5.116.5.1: Entropy
Entropy is generated everywhere and always (and thus overall increased), at any scale without exception (including life processes, open systems, micro-fluctuations, gravity, or entanglement). Entropy cannot be destroyed by any means at any scale, and thus, entropy cannot overall decrease. Instead of increasing and decreasing entropy, it would be more appropriate to account for entropy production (or generation) and destruction (the latter is impossible).
, one of the most beautiful ways to study the behavior of how entropy begins in physical systems is the 3He isotope when all degrees of freedom are suppressed and only nuclear (atomic) degrees of freedom Nnucl plays a significant role.
For that, scientists have to go as close as possible to absolute zero temperature, i.e. Tabs= 0 K.
I attach the following picture, the mutual orientation scheme of nuclear spins in solid 3He at almost T= 0 figure (a), that is, in an antiferromagnetically ordered state for solid isotope 3He, and the case when T >> Tordered state. ~ 0.002 K figure (b).
I find this field fascinating.
Figure modified from "Вблизи абсолютного нуля" 2001, Series Kvant by Prof. V. S. Edelman
I totally agree with your statement, Prof. Y. Halimi
& thank you so much for the interesting discussion and the link, indeed disorder is present from the very beginning as you wisely pointed out, even at the subatomic level! amazing :))