Where do you land, then anchor in place to accept the thrust, the rocket/impulse drive when the irregular rock is spinning at 12.625 Rev per day about a random axis NOT aligned on any recognized surface?
Doctor Evil would suggest using a “laser”. Using a laser on a single spot to boil off material and create a small thrust would get the job done over a reasonable interval of time.
Of course, some of these objects are known to be spinning in multiple axes at different rates, but the technique would still work.
https://www.physicsforums.com/threads/the-rotating-movement-of-an-asteroid.505944/
https://www.aanda.org/articles/aa/full_html/2024/02/aa48350-23/aa48350-23.html
“Where do you land, then anchor in place to accept the thrust, the rocket/impulse drive when the irregular rock is spinning at 12.625 Rev per day about a random axis NOT aligned on any recognized surface?”
That’s above my pay grade, but NASA has folks way smarter than me, plus AI to figure it out.