Nuclear thermal rocket?
-
What we need is the Epstein Drive.
If you could provide constant acceleration at 1g a trip to the moon would be a matter of 3 hours allowing for the deceleration phase, also at 1g.
Mars? About 2 days. Jupiter is 5 days.
https://space.stackexchange.com/questions/840/how-fast-will-1g-get-you-there
These times are, of course for when the planet is closest to Earth, so ymmv.