Earlier quoted context omitted.
Briefly: No. I read a paper on the topic a few years back. My recollection is that once you go faster than about 0.3c it becomes impossible to shed heat faster than you gain it from collisions with Helium. I'll try to dig it up.
I'm interested if that's physically impossible or just currently technologically impossible
Radiation hazard of relativistic space flight https://arxiv.org/abs/physics/0610030