Yes, according to the teachings of multitudes of the Fathers, if one leads a holy life, he will become a sharer of God’s divinity, and not merely in some “mystical” sense, but in the sense that he will take upon himself the attributes of God. I think the fathers speak for themselves:
“When we have come to know the true God, both our bodies and our souls will be immortal and incorruptible. We shall enter the kingdom of heaven, because while we lived on earth we acknowledged heaven’s King. Friends of God and coheirs with Christ, we shall be subject to no evil desires or inclinations, or to any affliction of body or soul, for we shall have become divine. It was because of our human condition that God allowed us to endure these things, but when we have been deified and made immortal, God has promised us a share in his own attributes.”
St. Hippolytus. On the Refutation of All Heresies.
“It was God alone Who could become something other than before, and yet not cease to be what He had ever been; Who could shrink within the limits of womb, cradle, and infancy, yet not depart from the power of God. This is a mystery, not for Himself, but for us. The assumption of our nature was no advancement for God, but His willingness to lower Himself is our promotion, for He did not resign His divinity but conferred divinity on man.”
St. Hilary of Poitiers. De Trinitate IX, 4.
“The Incarnation is summed up in this, that the whole Son, that is, His manhood as well as His divinity, was permitted by the Father’s gracious favor to continue in the unity of the Father’s nature, and retained not only the powers of the divine nature, but also that nature’s self. For the object to be gained was that man might become God.”
St. Hilary of Poitiers. De Trinitate IX, 38.
“The Word says, mentioning His own gift of grace: “I said, You are all sons of the Highest, and gods; but you shall die like men.” He speaks undoubtedly these words to those who have not received the gift of adoption, but who despise the incarnation of the pure generation of the Word of God, defraud human nature of promotion into God, and prove themselves ungrateful to the Word of God, who became flesh for them. For it was for this end that the Word of God was made man, and He who was the Son of God became the Son of man, that man, having been taken into the Word, and receiving the adoption, might become the son of God. For by no other means could we have attained to incorruptibility and immortality, unless we had been united to incorruptibility and immortality. But how could we be joined to incorruptibility and immortality, unless, first, incorruptibility and immortality had become that which we also are, so that the corruptible might be swallowed up by incorruptibility, and the mortal by immortality, that we might receive the adoption of sons.”
St. Irenaeus. Adversus Haereses III, 19.
“As the Lord, putting on the body, became man, so we men are deified by the Word as being taken to Him through His flesh, and henceforward inherit life everlasting.”
St. Athanasius. Orationes contra Arianos III, 34.
“From the Spirit comes foreknowledge of the future, understanding of the mysteries of faith, insight into the hidden meaning of Scripture, and other special gifts. Through the Spirit we become citizens of heaven, we are admitted to the company of the angels, we enter into eternal happiness, and abide in God. Through the Spirit we acquire a likeness to God; indeed, we attain what is beyond our most sublime aspirations – we become God.”
St. Basil. On the Holy Spirit IX.
“Even now, as man, Christ makes intercession for my salvation, for He still possesses the body which He assumed in order to make me God by virtue of His Incarnation.”
St. Gregory of Nazianzus. Fourth Theological Oration.
“Man, however, being endowed with reason and free will, received the power of continuous union with God through his own choice, if indeed he should abide in goodness, that is in obedience to his Maker. Since, however, he transgressed the command of his Creator and became liable to death and corruption, the Creator and Maker of our race, because of His bowels of compassion, took on our likeness, becoming man in all things but without sin, and was united to our nature. For since He bestowed on us His own image and His own spirit and we did not keep them safe, He took Himself a share in our poor and weak nature, in order that He might cleanse us and make us incorruptible, and establish us once more as partakers of His divinity.”
St. John of Damascus. Exposition on the Orthodox Faith IV, 13.