I suppose they could get a few people into the space station and fly that clear somehow, but unless they can do some remarkably fast development of the technology the human race is doomed - I think I'm right to say that you need a couple of hundred people minimum to maintain a viable breeding pool.
If we think really big, there's an old SF story where a problem like this is going to destroy a planet where some explorers have landed - their ship is wrecked and they have about six months to develop an alternative, some sort of perfected version of their space drive. The end of the story is that
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They develop the space drive then realise that they haven't got time to make the rest of the spaceship. But it's a very, very powerful space drive... so they end up taking the entire planet with them!
