Is Star Trek's Curvature Ship Really Possible?

[KEY]

Curvature ships played an important role in Star Trek, without it, Kirk would have a hard time escaping, which directly led to the general engine being left out in the cold. So, does such an engine really exist?

 

[publiusr]

You mean warp ship? Perhaps

The closest thing to the Enterprise was this Shuttle-C type concept here—see Figure

https://www.aiaa.org/docs/default-source/uploadedfiles/about-aiaa/history-and-heritage/shuttlevariationsfinalaiaa.pdf?sfvrsn=b8875e90_0

If people will stop trying to kill it, SLS might evolve into Energia II, allowing the shuttle of Figure 21.
Subsonic Lift to Drag ratio improved to 6.02
I might put jets on it for self ferry.

This Buran 2 can glide. Starship cannot.