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Short: No.
Long: No, you have no chance since you lose the scale of the object when projecting it into the camera. In the projection formulas, you always have expressions as x_px = fX/Z, y_px = fY/Z, so you can't distinguish the points (X,Y,Z) and s*(X,Z,Y) since s is cancelled out during projection. If you see an image of a tree, you don't know if you are far away from a large tree or close to a small toy tree.
