Hi Esben,
Great to hear you are so enthusiastic about EFT, and that it is working well for you :-)
Many people today stop at the underarm point - this is commonly referred to as the shortcut version. They even skip the 9 Gamut altogether, but may bring it back if they find an issue hard to budge. So yes, you can try out the shortcut version, and get more rounds done in a shorter amount of time. If you find an issue is taking longer to budge (which is quite rare, in my experience), you may want to experiment and bring back the 9 Gamut, or the finger points.
Another thing you can do is clasp your wrist instead of tapping on each finger, which I think is supposed to stimulate all the finger points at the same time.
Hope this helps you; please feel free to ask more questions :-)