DaveC426913
Valued Senior Member
We don't. We don't even know what we don't know yet.It seems most likely that "we" have the technology and engineering skills to build a nuclear powered interstellar space ship
Our crowning achievement so far is the ISS. We haven't even made it outside the Earth-Moon system, let alone outside the solar system.
I think you wildly underestimate the challenges involved in an interplanetary mission, never mind one that is approximately 10,000 times farther.
At the very least, all you have to do is calculate the fuel mass for such a trip. Nuclear engines are great and all but you still need reaction mass. You can't miniaturize that.
Don't forget, if you want to slow down at the other end, you need four times as much fuel, because you have to lug that fuel with you - which is dead weight on the journey out.