The Eiger Express is a very scenic ride. Depending on where you’re staying, do a loop in some form, kind of like this…
Grindelwald Terminal > Eiger Express > Jungfraujoch > Kleine Scheidegg > Wengen > Lauterbrunnen.
Once you get off the Cable car at Eigergletscher, you board the train and it makes one 5 minute stop at a small windowed glacier viewing point where you can choose to get off or stay on to wait, your choice. No extra cost. There is nowhere else to get off, unless you mean making stops at places like Kleine Scheidegg. In which, yes, you can stop for as long as you want.