If you snapped your fingers then not only will you be 45 billion light-years away from home, you will be seeing the object as it would be in the 'future' relative to what you saw of it at Earth because at Earth you are seeing the object as it was in the past. Let's take a quick example. Let's say the object is a very large digital clock that starts at zero and adds one number for every second. For simplicity, let's forget the light-years and say that it is 1 A.U. away (where the sun is). Remember that it takes light 8 minutes to reach Earth. If you saw the clock read 30 seconds, then if you snapped your fingers and was right up next to the clock, you would see that instead of seeing the clock read 30 seconds, it would read 510 seconds. So, if you snapped your fingers to the object, you would see the object in the future. Actually, you are seeing the object in its past from Earth, and when you snap your fingers you are seeing it in the present. Does that make sense?