Obviously the answer is no. This is a public service and thus preventing it from being taped contradicts that aspect and it would be inredibly hard to enfore. Also, police are authorities, people trusted with power, and people in those positions must not have the ability to condemn scrutiny of their actions.
But really no one is actually talking about making taping police illegal. The issue here is instead about ridiculous intepretations of a different law. It's really a whole other kind of matter.