Gotta disagree on that one. Well maybe with the small change to "Earth and her current inhabitants". There's current projects that hope to launch small probes

Gotta disagree on that one. Well maybe with the small change to "Earth and her current inhabitants". There's current projects that hope to launch small probes to the nearest start (under 5 light years away) at a few % of speed of light powered by large arrays of lasers. Assuming it gets attention and additional funding the probes will get bigger and of course sensors are continuing to improve per unit of mass. With a better survey of the nearest star, plants, asteroids, comets, and magnetic field we'd have a much better idea for what to send next. Assuming reasonable progress on fission, fusion, plasma drives, light sails, and related technologies we could look at accelerating on this ends and slowing down at the opposite end. Once we can send small probes they would work on building mirrors to help decelerate whatever we send next. Similarly on this end we could put more solar panels+lasers in orbit to help with launches. If any of the planets looking promising it doesn't seem insurmountable to eventually send humans (or at least their DNA) to the nearest star.