Yes it can be done. Depends on the material which once work.
Some are pretty toxic so, but it depends.
But you can easily go smaller than 0.1mm (100 microns) with a resin printer... If you go with 10-50 microns (depends on the printer if you can) you will likely do no longer see the rings with bare eyes.
Still they will be there especially with round shapes you print in the "wrong" direction / rotation. (sometimes you can not do it differently)
These are some of mine with my resin printer where you can see it on the sphere stuff too:
https://www.patchwork3d.de/blog-5-en/schmuck-aus-dem-dlp-drucker-elegoo-mars-1029
But the problem with resin printers is:
You need more time and it is more trouble for less strong parts. If you want to do small figures, resin is great, if you need strong parts to be useable in real world scenario you want a FDM machine.
Best regards
*Fuchur*