If you only traveling at 45% of light then I guess it would still work. But the real point is even an object the size of a pea hitting a ship at 45% of light would probably end the trip rather quickly.
Star Trek Tech used deflector shields to eliminate this pesky problem and deal with hostile aliens as a bonus. But that is just as impossible as building a singularity to power an engine.....at least for now that is.
You can actually use that little formula in my post 5 to see how a second aboard a ship traveling at 45% light speed would compare to that of a second back on earth. Just replace v with .45c
...it would also shorten the trip via ‘length contraction’, from the high-speed ship’s perspective.