In the realm of science fiction that has science... Timemaster by Robert L. Forward (who writes science papers with a plot - and that's a good thing).
The main character wanted to get out to the asteroid belt in an accelerated time frame (not relatively accelerated but rather faster than the current slow methods)
> "Sorry, sir," said Mary, the perky nose on her image twitching under her large glasses as she thought. "I'd be glad to turn over all the cable we've been making for the Mars rotovator, but by the time Bull's division could turn it into a cable catapult, you'd be there using the existing system."
> "Can we push the gee limit higher?" asked Randy.
> "Well... yes..." admitted Bull. "We have small express pods we use to send emergency cargo. We can accelerate those at ten times the normal three-gee launch acceleration and get them up to three hundred kilometers a second."
> "How soon would that get me there?" asked Randy.
> Bull, his fingers too large to operate a cuff-comp, pulled an hp pseudocray out of his shirt pocket, and did a short calculation. "Three weeks," he said. "But those capsules accelerate at thirty gees! You'd be squashed flat!"
> Randy paused for a while as he thought. "I've read about deep-sea divers who survived at high pressures by breathing an oxygen-carrying liquid," he said. "If I floated in a tank of that, I could handle thirty gees easily."
> Tony, Mary, and Bull each thought for a while; then all three nodded, although reluctantly.
> "If I were you, I'd check with some medical and diving experts first," said Tony. "It could be hard on your lungs."
---
Granted, that's science fiction and there are some real problems with that approach too...
https://en.wikipedia.org/wiki/Liquid_breathing#Space_travel
> Acceleration protection by liquid immersion is limited by the differential density of body tissues and immersion fluid, limiting the utility of this method to about 15g to 20g. Extending acceleration protection beyond 20g requires filling the lungs with fluid of density similar to water. An astronaut totally immersed in liquid, with liquid inside all body cavities, will feel little effect from extreme G forces because the forces on a liquid are distributed equally, and in all directions simultaneously. Effects will still be felt because of density differences between different body tissues, so an upper acceleration limit still exists. However, it can likely be higher than hundreds of G.
> Liquid breathing for acceleration protection may never be practical because of the difficulty of finding a suitable breathing medium of similar density to water that is compatible with lung tissue. Perfluorocarbon fluids are twice as dense as water, hence unsuitable for this application.
We're not at the point where we can launch at hundreds of Gs yet (and I'm not sure I would want them to be centripetal Gs initially either - that sounds very not fun) ... but when we get to the point were we want to launch a person into space in the direction of another planet at 10 or 20 or 30 Gs of initial acceleration, this is likely something to be revisited.