Depends how much you want to abstract hardware and software to define "machine".

But the words roots trace back to the old Church Slavonic word "robota" for servitude/forced labor/drudgery [0].

In that context even a calculator could be considered a "robot".

[0] https://www.sciencefriday.com/segments/the-origin-of-the-wor...

I feel like it's fine. "Bots" refer to software entities all the time, and there's no meaningful physical action needed for writing a poem.

Using "robot" for something that's not highly autonomous is wrong, though.