Let's say there was a time when a group of captured Capitol prisoners were being integrated into the rebel forces under President Coin's leadership. One of the Capitol children, who was now orphaned and confused, was brought before Coin. Instead of showing coldness, Coin hugs the child. This hug symbolizes a new beginning, a break from the old ways of the Capitol. But it also stirs up mixed feelings among the rebels. Some see it as a sign of Coin's kindness, while others suspect she has ulterior motives as she always seems to be calculating her every move in the power struggle.
Suppose there is a young girl who has been spying for the rebels in the Capitol. When she finally returns to the rebel base, she is greeted by President Coin. Coin, impressed by the girl's courage, hugs her. This hug is a recognition of the girl's contribution. But knowing Coin's character, it could also be part of her plan to use the girl's story to inspire more people to join the rebellion. It's a hug that has multiple layers of meaning in the context of the power - hungry and complex world of 'The Hunger Games'.
Most likely not. Usually, if it were based on a true story, there would be some indication or background information given. But for Alma Filcott, I haven't come across anything suggesting it's true.