It's difficult to give a likelihood as it depends on future political power struggles than practical benefits.

The fashion of thinking about space travel is an historical artefact of the geopolitical landscape following the second world war. The invention of nuclear weapons and long range missiles had created a situation where the first power to achieve dominance over space would have a huge strategic advantage, being able to threaten everyone else with total destruction. America and the USSR had rocket scientists from the war, but the enormous costs required to compete needed public backing. By combining the virtues of science, technological advancement, curiosity, exploration and national pride, science fiction was employed as a propaganda tool to this end. It not only successfully justified this "space race" -- a very expensive, very public arms race in experimental aircraft design -- but led to a virtuous cycle of both cultural works and of technological progress ultimately leading to many of the technologies we take for granted today. The effects on the public psyche never went away, we generally still have the dream of visiting the stars despite it being impractical, taking hundreds of years and having very little benefit.

It is reasonably likely that a race to colonise planets in this solar system will unfold in the future, and this likelihood is would be the most probable driver of both cities in space and attempts to travel to nearby solar systems.
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