High chance of it yes. There’s no mass exodus planned to my knowledge. There will be a point, if humans don’t become extinct in the meantime that we either use up all resources, or the Earth will become too hot due to the Sun getting hotter that humans would have to leave Earth. If we don’t leave Earth at some point humans and all life on Earth WILL become extinct. But that’s waaaayyy into the future.
Alternatively, if a rogue black hole enters the Solar System, there’d be no choice but to get out of there! Konstantin Tsiolkovsky, a Russian rocket scientist in once said ‘Earth is the cradle of humanity, but one cannot live in a cradle forever.’ So its whether we evacuate or boldly go and become a space thriving civilisation, the other alternative is extinction!