^ Yep. But I have found the factory stock black plastic grips to be about the thinnest available; Hogues (AKA "Goodyears") and any wood or G10 stocks will be fatter. Get the short trigger (available from Midway, Brownells, Top Gun Supply) combined with the OEM stocks and you should be good to go (although the pistol won't be as pretty as it would be with cool VZ or exotic wood stocks).
Also, don't confuse the SIG Short (reach) Trigger with the SRT, short reset trigger (which is also superb, I might add).
For me, the E2 grips have a big bulge near the top which forces my thumbs lower where I don't want them. The original grip configuration works best for me, and I've got good sized hands.