Stephen Russell was in prison for fraud. He faked a heart attack so he would be brought to the hospital. He then called the hospital from his hospital bed, told them he was an FBI agent, and said that he was to be released.
The hospital staff complied and he escaped.
His life even got adapted into a movie called I Love You, Phillip Morris.
For an even more distressing example about how manipulable people are, there’s a movie called Compliance, which is the true story of a sex offender who tricked people into sexually assaulting victims for him.