As far as we currently know getting to another star system is impossible. Ok, that's a bit harsh, there are weird and wonderful ideas for sub-light ways of getting to another star system but all of them are so far outside our technological / manufacturing capability they might as well be impossible.
We could do it with an O'Neill Cylinder paired to an Orion drive and used as a generational ship. It'd be a big project, but it's doable with out current capabilities, if only just barely.
The fragility of the earth bound supply chains leads me to believe they simply wouldn't work on another planet where, basically, the planet is out to get you.
If we're just talking about survival hydroponics works pretty much anywhere there's water and a breathable atmosphere.