In the US lying to the police is not against the law. It is in the UK but they no longer have the distinction between crimes of felony or misdemeanor. For the UK a criminal act is a criminal act.
BUT, to try to get someone arrested you would have to report a crime to the police.
If that is a lie then you can be arrested. Depending on what was said it could be a felony or a misdemeanor.
An example of a case I participated in.
A public school principal was having a problem with wo 10 year old in her office. She called the police. She felt they were not responding quickly enough to her low priority call.
So she called in, using her official school codes, a "man with a gun" at teh school.
Within less than a minute 6 officers arrived and started, in combat formation with rifles and handguns drawn, searching the school.
SWAT was alerted, command trucks were started out and a helicopter started hovering over the school. Ohter schools, both public and private, in the area were notified that they should go on lockdown.
When the first squad of officers reached her office they found the truth, with the same principal demanding they leave the school with their guns. They canceled the alert
She was arrested and charged with, what i s called in my state, felony disorderly conduct. The same charge as calling in a fake fire.
She was fired and her certification from the state was taken away so she could never teach, let alone be a principal, again in the state.