Is cancel culture a form of bullying?
It's a form of shaming in order to encourage conformity, which is as old as sin.
I do think we have a new situation with technology that we haven't figured out how to navigate. How long should a record of the stupid things people say, or even legal transgressions people commit, be available at the click of a mouse? Do people have a right to be forgotten or a right to erasure?
Right to be forgotten - Wikipedia
Should certain things be erasable from public record, upon request, after a period of time? Which I think is related to the more fundamental question: Should we allow, from the outset, that people can change and get better? I think Christians, by default, have to allow for that.
On the other hand, it seems there are some things that people do that someone should always remember. For the sake of the common good, certain actions and their perpetrators should have some record publicly available.
And then there's the issue of free speech, which in the States is an obstacle (I would think) to any legislation towards letting folks erase forgivable transgressions, like being stupid, or rash, or I'll informed. I don't know where the line is, but one could be drawn.