Sure it can. Type 2 diabetes is both hereditary and lifestyle/behavioral influenced . Same with cancer, if you have cancer in your family your risk of getting cancer is higher. I would say most medical issues are both. Heart disease, gout, obesity, hypertension,strokes,asthma etc.
Let me put this a bit differently: Type 2 diabetes is both genetic and can be acquired during one's life (e.g. through bad dietary choices). But a man who develops diabetes does not acquire genetic T2D by doing so - he cannot pass it on directly to his children.
Confusing the effects of starvation with Lamarckian inheritance is a fundamental category error. If starvation affected every cell in your body except for the gametes, that would be worth investigating.
> with Lamarckian inheritance is a fundamental category error
Would you believe that things are more complex than neat categories discovered in 1850 that you learn in fifth grade?
Starvation is just the most studied aspect of this as it is easier to find control groups. However, you could easily search and find others, which you don't seem to be willing to do for some reason.
This is not groundbreaking research, this has been known for a while. The current focus is to understand possible non-genetic pathways for this. https://en.wikipedia.org/wiki/Epigenetics
"Epigenetics is the study of heritable changes in gene expression that occur without altering the underlying DNA sequence. These changes, also known as epigenetic modifications, affect how genes are turned "on" or "off" and are influenced by factors like environment, lifestyle, and aging."
That's a separate effect, known as acromelanism, or "point coloration". It's the result of an enzyme which is inactivated by higher temperatures, not a genetic change - the extent of pointing can change over an animal's lifetime, and the specific pattern isn't inherited. (For instance, if you somehow convinced a cat with color pointing to wear a sweater, its fur would stay light under that sweater, but any offspring it had would not inherit that pattern.)
That isn't a genetic change either, though. Those species of turtle either lack the typical sex-determining chromosomes entirely, or have sex-determining chromosomes which can be inactivated during development. The genotype doesn't change as a result of what temperature the egg is incubated at; its expression does.