Well their way around it in Star Trek is to say that the ships aren’t moving at fantastic ftl speeds. They’re warping space to make the distances between those points shorter, and then traveling at a reasonable speed across that (briefly) shorter distance. So they don’t need to expose humans to extreme g forces.

Warp drives are loosely based on a real theory, an Alcubierre drive, but as far as I know, while the idea is mathematically sound, it’s practically quite impossible. They would require some unfathomable amounts of energy to operate as well as matter with negative mass (which is not a thing).