Yes. The Son alone is the Image of the Father because the Son proceeds as word, and it is essential to word to be like species with that whence it proceeds, whereas this does not essentially belong to love, although it may belong to that love which is the Holy Ghost, inasmuch as He is the divine love.
Although the Holy Ghost is like to the Father and the Son, still it does not follow that He is the Image.
The Holy Ghost, although by His procession He receives the nature of the Father, as the Son also receives it, nevertheless is not said to be "born"; so, although He receives the likeness of the Father, He is not called the Image.
The Greek Doctors commonly say that the Holy Ghost is the Image of both the Father and of the Son; but the Latin Doctors attribute the name Image to the Son alone. For it is not found in the canonical Scripture except as applied to the Son; as in the words, "Who is the Image of the invisible God, the firstborn of creatures" (Colossians 1:15) and again: "Who being the brightness of His glory, and the figure of His substance." (Hebrews 1:3).
The image of a thing may be found in something in two ways. In one way it is found in something of the same specific nature; as the image of the king is found in his son. In another way it is found in something of a different nature, as the king's image on the coin.
In the first sense the Son is the Image of the Father; in the second sense man is called the image of God; and therefore in order to express the imperfect character of the divine image in man, man is not simply called the image, but "to the image," whereby is expressed a certain movement of tendency to perfection.