NO! The inner core has not started to rotate backwards!
You may have seen the headlines. I have, and now I have to patch the drywall where I beat my head against it (I try to do that where there is not a framing stud). If you are asked about it, just send them this from a few months ago:
EARTH’S CORE IS SPEEDING UP AND SLOWING DOWN
https://www.syfy.com/syfy-wire/bad-astronomy-earth-inner-core-spin-constantly-changing
Sigh.
(edited for formatting)