This makes no sense — with OF or OFF. Where did you hear it?

"But who would fight this wondrous beast? I wouldn’t for a kickoff/kick-off/(kick off)"
https://classicrockworld.org/john-lennon-the-beatles-slaps-to-himself-rare-video/
https://metalheadzone.com/the-beatles-legend-john-lennons-55-year-old-weird-wrestling-dog-story-released/
https://www.instagram.com/p/B1Js8gMFHGX/

Ok, so it’s British apparently, but John Lennon seems to be the only person to have ever said it in the past century. It means the same as FOR STARTERS: https://books.google.com/ngrams/graph?content=for+a+kickoff%2C+for+starters&year_start=1800&year_end=2019&corpus=26&smoothing=3&direct_url=t1%3B%2Cfor%20a%20kickoff%3B%2Cc0%3B.t1%3B%2Cfor%20starters%3B%2Cc0

Типа «Никто бы такое не сделал, научная с меня!» (??)

"Я бы не стал, например" (ударение на слове Я)/ Никто, в том числе и я, не стал бы

Да. You can kick off/start the list of people who won’t do it with me.