Is there a glucometer that does not require you to stick your finger?

Several: The simple answer is absoultely. Some allow you to check the sugar on the side of the hand, the arm and other places. They typically use slightly different lancets and lancet devices, but the technology to measure the glucose i assume is about the same. The meters, strips and lancets for such devices are a bit more exp than others that use the finger. Ins may not pay for all of them.