Not really. I think GRRM shows his hand with this passage:
“His Grace is but a boy. In the streets, it is said that he has evil councillors. The queen has never been known as a friend to the commons, nor is Lord Varys called the Spider out of love … but it is you they blame most. Your sister and the eunuch were here when times were better under King Robert, but you were not.”
I don’t think LF needed to do anything to get the common people to turn on Tyrion.