Oshizuma Izushika you're not the first and you won't be the last. Still around. I promise you that you will get more out of this game than you ever thought possible if you are willing to learn.
I tried my thumb fingered hand at your challenge. No landing but extremely close flybys of all 4 moons and Jupiter.
I believe that with some planning and better piloting skills than mine it might be doable. With ions no doubt about it at all
I used my 2nd rocket as a gas can. There's probably a better way.
Look at those orbits. This is after fuel transfer and warping into transfer
God I love Jupiter. You can literally throw yourself from one end of the solar system to the other
After fooling around for awhile I decided some skin of my teeth flybys snd call it a day