Exactly how are you accuracy testing? Unless you are shooting with the frame fully supported in front of the trigger guard, using a two-handed hold, and supporting both wrists on sandbags then you are only testing your ability to shoot the handgun accurately, not the accuracy of the handgun.
If you are doing the above you can expect one to two inch 5-shot groups at 25 yards depending on ammo. If you are doing the above and are getting 4-5 inch groups while getting small groups with other pistols, then it may be the pistol. My 9SD has a serious accuracy problem and is the most inaccurate HK I own and the only HK pistol I own where my abilities are greater than the pistol's. The rest of my HKs, .45 USPs included, are much more accurate than I am.
If you are shooting off-hand and not doing as well as you do with other, more familiar pistols, then just as the others said you need more trigger time behind the USP. The accuracy is there, you will only need to develope a feel for the USP to achieve it. It is not your father's 1911.