The art of turning astronomical data into this kind of picture is considerable. Its not a totally "creative" art, but its got creativity and originality too. Interpretation, perhaps even "translation", might be better words.
As a recent hire to the Space Telescope Science Institute which produces the software packages used to process and analyze Hubble (and soon Webb and Roman) imagery, I'd be happy to answer any questions on the topic to the best of my ability. I'm more on the DevOps side so it will be an opportunity for me to learn more about it too!
I wish i had more questions :)
I haven't looked into "software used to process Hubble images" since that was `xv`; I assume they've gotten a bit more involved now?