Of course it will not. Kim, Xi, Vladimir P. and Alexandr (to use some random names) are not going to be bothered by citizens communicating freely unless it leads to near instantaneous mass revolt in which the army, the police and the security forces all move over to the other side. Otherwise they'll just kill a few hundred, thousand, ten-thousand or hundred thousand of their citizens (which they can afford to lose) to bring the rest back in line.

It would take far more than a bunch of cell phones to bring this about.