Possibly.
As the Sun changes, the region around it where temperatures could potentially permit liquid water will move outward. Scientists have studied whether distant worlds could temporarily become more favorable for life as the Sun evolves.
NASA notes that some outer Solar System worlds could potentially experience warmer conditions during the Sun’s red-giant phase, although this is very different from saying that humans could simply move there.
And if a technologically advanced civilization still existed billions of years from now, it is conceivable that it could migrate beyond Earth—but that is speculation about a future civilization, not something current science can guarantee.
The Most Important Lesson
The viral claim about an “exact date” is misleading.
Science can make increasingly sophisticated predictions about the Sun’s evolution and Earth’s long-term habitability, but these are timescales and model-based estimates, not a calendar date marking the disappearance of every living organism.
The remarkable part is that the basic story is nevertheless well understood: the Sun is slowly changing, Earth will eventually become too hot for the kind of life we know, and billions of years later the Sun itself will enter its red-giant phase.
Fortunately, these events are so far in the future that they have no practical bearing on human life today. On cosmic timescales, however, they offer a remarkable glimpse into the eventual future of our planet.
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