No, jet engines push against the atmosphere and the atmosphere is a part of the earth
https://physics.stackexchange.com/questions/608372/if-a-jet-...
It would have to be rockets. My napkin says 2B starship boosters and 250K tons of propellant per second should give us around 1 second per year.
If the jet engines are pushing hard enough, then the atmosphere won't be a part of the earth for long.