Answer
Yes, we agree.
Work Step by Step
You do see your hand "in the past."
Light has a large but finite speed. When you look at your hand, you are receiving the light that left your hand a short time ago.
Divide the distance between your hand and your eye by the speed of light to calculate how far back into the past you are seeing.
Example: light travels a distance of 30 cm in a billionth of a second. One rule of thumb is that light travels about a foot per nanosecond (actually, about 1.02 ns).
If the back of your hand is about 30 cm (a foot) from your eyes, you are seeing it as it was one-billionth of a second ago.