I'm also not a native english speaker, but I am however a professional acoustician. I'm not opposed to you defining your terms in a way uncommon to both acoustics and audionomy, and with this explanation they're clear, although I don't understand how the contrast is relevant to the topic. No matter how the signal is created, it will have to be a pressure wave of amplitude and frequency, travelling through a medium, like air, to reach an ear.
However,
Can headphones or earbuds or loudspeakers reproduce a digitally generated noise in frequencies that are painful in amplitudes that are harmful for the human hearing apparatus?
Headphones and earbuds certainly can produce harmful amplitudes, that is why most of them are designed to be physically limited not to be able to. This is what the upper limit OP mentioned usually refers to, the maximum physical level the ear plug can produce. Limited by available airflow, membrane, driver, power, and seal.