Yes. In man there exists the image of God, both as regards the Divine Nature and as regards the Trinity of Persons, because also in God Himself there is one Nature in Three Persons.
Dicendum est in homine esse imaginem Dei et quantum ad naturam divinam, et quantum ad Trinitatem personarum, nam et in ipso Deo in tribus personis una existit natura.
As we have seen (Q40, A2), the distinction of the Divine Persons is only according to origin, or, rather, relations of origin. Now the mode of origin is not the same in all things, but in each thing is adapted to the nature thereof; animated things being produced in one way, and inanimate in another; animals in one way, and plants in another.
Sicut supra habitum est, distinctio divinarum personarum non est nisi secundum originem, vel potius secundum relationes originis. Non autem est idem modus originis in omnibus, sed modus originis uniuscuiusque est secundum convenientiam suae naturae, aliter enim producuntur animata, aliter inanimata; aliter animalia, atque aliter plantae.
Wherefore it is manifest that the distinction of the Divine Persons is suitable to the Divine Nature; and therefore to be to the image of God by imitation of the Divine Nature does not exclude being to the same image by the representation of the Divine Persons: but rather one follows from the other.
Unde manifestum est quod distinctio divinarum personarum est secundum quod divinae naturae convenit. Unde esse ad imaginem Dei secundum imitationem divinae naturae, non excludit hoc quod est esse ad imaginem Dei secundum repraesentationem trium personarum; sed magis unum ad alterum sequitur.
But, as Augustine says (De Trin. xv, 6), there is a great difference between the trinity within ourselves and the Divine Trinity. Therefore, as he there says: "We see, rather than believe, the trinity which is in ourselves; whereas we believe rather than see that God is Trinity."
Sed, sicut Augustinus dicit in XV de Trin., maxima est differentia huius Trinitatis quae est in nobis, ad Trinitatem divinam. Et ideo, ut ipse ibidem dicit, "Trinitatem quae in nobis est, videmus potius quam credimus, Deum vero esse Trinitatem, credimus potius quam videmus."