All livings beings take birth, age, and die. This is well understood as a Truth in philosophy through inductive argumentation. That begs a follow up question: is there any formulation of a Law based on this type of argument involving observation about the world which states that all machines which have been created will cease to be?
In a very general sense the answer is yes, as follows.
It is a fundamental fact of physics that isolated systems evolve all by themselves into states of ever-increasing entropy. This means that it is overwhelmingly more likely for things to fall apart than for them to self-assemble, without an external source of energy.
So, for machines with moving parts, those parts will tend to tear each other up into a broken state rather than spontaneously repair each other into a pristine state. The tearing-up process can be delayed through clever design, but not prevented forever. This means that no machine has an infinite lifetime, not because we aren't clever enough, but simply because there are a billion ways for a machine to fail over time but only one for it to survive.
Interestingly, outside of the Second Law of Thermodynamics, I'm not aware of any canonical "Law" that beings must be mortal in the West. In fact, given the influence of Plato on Western philosophy, it is often presumed that there is some form of existence that is pure and eternal that applies to physical things which often have souls and abstract things like numbers which have eternal essences. Plato's Theory of Forms or something like it is adopted by mathematicians (math ideas are eternal and objective) as well as Christian theologicans (God is eternal, and the righteous souls have a place by his side in the Kingdom after death). Up until the discovery of the Big Bang, for instance, physicists were perfectly comfortable presuming the universe had neither beginning nor end. Heraclitus was one notable exception with his doctrine of panta rhei in which he observed everything was constantly changing.
The opposite is true in Eastern philosophies. One of my most radical acquisitions of thought was the Zen adage: all permanence is an illusion. It is in the East where such notions of impermanence are prevalent. For instance, anicca/anitya serves as a central property of existence in Buddhism. Thus, yes, there is a Law of Impermanence that sits outside of Western philosophy. This may be why Fritjof Capra wrote The Tao of Physics. The entropy and the Second Law of Thermodynamics are much more at home in the Eastern paradigm of existence than the Western one.
Interestingly (and pursuant to my proposed edits to the question), there are two ways for a machine to be impermanent. Consider a beloved car who slowly begins to fail. You could indeed replace parts of the car to maintain its permanence, but at what point as you replace failing parts do you still have the same car? Thus, it would seem that besides impermanence of a machine in a mereological sense, there is also a potential impermanence in terms of identity as raised by the problem Ship of Theseus.