I expect it'll catch up with her one day and she'll have to answer to the police, yes.
But, she definitely does do this. I can think of several occasions when she's done this to different people and I expect there are more I don't know about as it's a tactic she uses time and again.
It's surprising what you can get away with, with a lot of front and some charm, however. And if you don't always use the same police force for your complaint. They're not that joined up.
Also, she has contracts with the police - or used to at least, she used to provide training for them - and she's full of self-confidence, so I expect she's relatively convincing when she's making the complaints.
She tried to use the police to intimidate a vulnerable woman called Sally Ann into silence, for example. In a nutshell, Jessica published Sally Ann's own story of CSA in one of her books without permission. When Sally Ann made this public, what Jessica should have done was to apologise, say it was an honest mistake and promise to remove the story from further editions.
Instead, Jessica went on the attack, aiming to trash Sally Ann's reputation. She told anyone who would listen that Sally Ann was obsessed with her, was being innfluenced by her support service who "had it in for Jessica" (funny the amount of people who supposedly have it in for her, she's always the hero-victim in her stories!), that her story wasn't in the book, that Sally Ann was a stalker. Then - utterly shamelessly, the story changed, she said actually the story was in the book, it was a misunderstanding, but still, Sally Ann was a stalker.
It was pure DARVO - trying to cast Sally Ann as a crazy nutter rather than admit her own shortcomings - the exact methods she attacks abusive men for. But this woman has zero morals.
Jessica called the police on Sally Ann multiple times, even though she knew Sally Ann was incredibly vulnerable.
It ended up in court. Throughout, Jessica misrepresented what was happening, claimed that Sally Ann had been found guilty of stalking, when she absolutely wasn't. The reality is, when push came to shove, Sally Ann had a tonne of evidence supporting her case and good character while Jessica couldn't produce any and the case was dropped. But it was one of those things where the process is the punishment.
A lot of the detail of this is on Tattle Life.
Thankfully I'm no longer anywhere near Jessica's life and so I don't know, it's possible she has been pulled up for her habit of wasting police time and using them to intimidate people. I certainly hope so.