I’d never say it’s impossible, if we maintain a civilisation for long enough it might even be inevitable at least at a minimal level.
However, Daedalus/Orion is far from as straightforward as has been suggested by you and others. It’s based on projections of technology made in the 70s, not 70s technology. There are also formidable obstacles, such as obtaining enough Helium3. The authors suggested extracting it from the atmosphere of Jupiter or Uranus. That by itself would be as hard as building the vehicle itself, if not harder. I’d like to see a design for a Jupiter atmospheric scoop and return vehicle.
Also Daedalus couldn’t take people. Staggeringly huge as it was, it was a flyby mission with a 450 ton payload. If it was going to decelerate instead it’s payload was about the size of a washing machine.
Orion is kind of shockingly practical. It was forgotten for some time as it was a military research project not NASA or academic.
Once you have propulsion and a ship you're pretty well there.
https://www.wolframalpha.com/input/?i=1%2F2+*+10%5E-4kg+*+(0...
it's 35% of the fission energy released by totally fissioning 1g of U-235!
i.e. I don't know whether this it's feasible to just have a heavy water & lead shield, as 0.1g is fairly optimistic to be the heaviest particle hitting you. Already at this size we're in range of tactical nuclear weapons.
Or more general: Space travel isn't just about speed.
https://www.wolframalpha.com/input/?i=time+dialation+at+0.08...
That is still beyond humans with present day life spans, but extend life span to ~1000 years or go full AI and you can totally ride the "devil's pogo stick" to stars <=20ly or so awat.
Fusion rockets would probably be better. I mention Orion because we sort of know how to build it today... at ludicrous cost. No new physics and not that much fundamentally new engineering is needed. Orion is a fabulous and quite valid counter to the folks that seem to like to repeat the canard that interstellar flight is impossible. Hard as hell, sure, but not impossible by any means.
To a fully Kardashev type I civilization it might be around Apollo moon shot difficulty.