No, that's a complete misunderstanding of the law on this.

If you antagonize and film a police officer while they are off-duty, that is inappropriate; potentially stalking and harassment. Same in the other direction. The courts have thus far determined there are specific rights to filming police while engaged in their duties; not just for press, but for citizens in general.

Filming: https://en.wikipedia.org/wiki/Glik_v._Cunniffe

Antagonizing: https://www.wired.com/2013/01/flipping-off-cop-case/