The thing is, it's 39 light years away.
The most powerful and efficient hypothetical rocket engine which we know would work is a thing called a nuclear pulse rocket (basically, a system which uses hydrogen bomb detonations to propel a spaceship). Using such a system, it might be possible to propel a space ship large enough to house human colonists to 5% of the speed of light (while still maintaining enough fuel to slow down).
So, 39/0.05 is.. 780 years. 780 years for a one way trip to our new home. Without some kind of magical ability to preserve humans in stasis for those impossible lengths of time, that's what.. 30-40 human generations living and dying within a space the size of a city block. Imagine the world 800 years ago, and imagine all that time playing out in a single enclosed space housing perhaps a few thousand people. And that's before we even get to the physical hazards which would need to be negotiated. At 5% of the speed of light, objects the size of your fingernail become devastating and the slightest graze or impact could damage or destroy our spaceship. Such hazards would need to be able to be identified and deflected perfectly without fail by a system which wouldn't break down over hundreds of years. Even without such existential hazards, all the complex machinery aboard would need to be maintained and replaced as necessary, and the crew would either need to be protected by heavy radiation shielding, or would suffer the effects of cosmic radiation and space weather.
To send colonists out under these conditions would be one of the most monstrous acts of unspeakable cruelty in human history. You would be condemning generations to life imprisonment on the vague chance that by the time they arrive their distant, distant descendents would even have some memory or half remembered legend what they were actually there to do or how to even begin colonizing an alien planet. All human history would be long gone, any connection to the past or to our lives here on earth would have long since been obliterated by generations of space travel. What exactly would be the point? What would we be preserving, at that point, beyond being able to die with the vague knowledge that beings whose DNA might still be vaguely similar to our own might possibly continue.
The universe is really, really big, and our forms and lifespans are really, really small. Our basic nature defies the possibility of ever truly mastering the stars.