No, they are saying that the sun is expanding as part of the normal life cycle of a star and as it does we will get warmer and eventually be destroyed. Astronaut Mike Massimo did a documentary on it Video here it's watchable but don't click on the link as they suggest. Since you live in the USA (I live in Spain) you may find it on one of the streaming TV services in better quality.
In a billion years we will be living well off Earth, probably out to the Oort cloud. We may even have the tech to move Earth out to the edge of the solar system.