This will happen, and that's why generation ships are almost certainly retarded because if we ever get self-assembling factories and the ability to emulate a human mind as data, we can just send swarms of tiny ships at 50% or more the speed of light (look up Breakthrough Initiative and scale that shit up)--possibly more, I've seen predictions that 90-95% of lightspeed is doable. Then these tiny ships use light pressure from the star to slowly assemble lasers and slow the other ships down and then they land on a planet and build an antenna that receives a signal and transmits the data that is a human mind and then they build robot/biological bodies and download AI brains into them. That's not any more science fiction than shit like a 1 gigaton spaceship going 1% the speed of light for 500 years with thousands of people aboard.
But it's probably possible in some scenario where you have people retrofitting a planet as a ship and shooting it out of the galaxy to go to another galaxy. The ship is so big and travel times are so enormous that it actually would have the industry to improve its engine somehow and then gain that little bit of speed. You'd probably need a ship that big to colonize another galaxy, even if you were a robot.
It's never going to happen. Space colonization is just some capitalistic escapism. Those billionaires will rot in this shithole with the rest of us. They know this civilization is not going to last long and are just coping and wasting tax money ( like space X, what a fuckin failure)
I wish you were right, but it's going to happen because the elite are control freaks and will eventually launch trillions of tiny mirrors to dim the sun in the infrared spectrum about 1-2% thus cooling the Earth. If you can warm/cool the Earth on demand, congrats, you have a goddamn weather control system.
To support this industry you have to either have huge launch capacity like Starship times a million or need factories on the moon (probably automated), which means you have all the infrastructure needed for space colonies. My theory is the elites will use this weather control system and shit to drive everyone off the planet and into space colonies, which are the single most controlled environment possible. If you think the 5G 15 minute smart cities they have planned for us are bad, they're positively free places compared to a space colony which has to account for every molecule of air. The elites want the max control possible, therefore space colonies are the solution. Eventually the Earth will become a giant nature preserve where the Ted Turners of the future can do whatever they want. They'll also build their own space colonies which are Epstein's Island in Space, where they can splice themselves with animals and live out their transspecies fantasies raping kids all day.