In short, from third-party sources:
The propeller-driven aircraft will not reach space, because. the propeller will not be able to give thrust in rarefied air.
Jet-fuel without an oxidizer does not work in the upper layers.
Space engine is bad in the atmosphere.
A universal engine (space-planet), for example atomic.
Do you have any idea what the Space Shuttle and Buran look like? This is the maximum approach of mankind to the implementation of this idea, which cost both countries a lot of money and resources.
First, you need a source of energy, and secondly, a jet engine needs a working fluid. These two things are connected - conventional rocket fuel carries energy and the products of its combustion are released in the form of a working fluid. Energy needs (mv ^ 2) / 2, here m is the mass of the working fluid and v is the speed of the jet. If we imagine that we have some kind of super-cool energy source, then the working fluid is still needed, it may be some kind of argon that will need to be accelerated to very high speeds.
And thirdly , we need heat-resistant and heat-insulating materials that will protect against high temperatures that will arise from friction against the air during takeoff and landing. If you look at the space shuttles, you may notice that they are quite chubby, well, you just need thick enough insulation.
Therefore, in science fiction, starships often have some kind of ability to move more smoothly, due to gravity control (no success so far).