Were any Eastern Orthodox saints gifted with invisibility?

Were any of the saints in the Eastern Orthodox Churches gifted with the supernatural ability of invisibility from time to time?

Yes, there is at least one example. See Venerable Joannicius the Great.

Saint Joannicius spent seventy years in ascetic deeds and attained to a high degree of spiritual perfection. Through the mercy of God the saint acquired the gift of prophecy, as his disciple Pachomius has related. The Elder also levitated above the ground when he prayed. Once, he crossed a river flooded to overflowing. The saint could make himself invisible for people and make others also hidden from sight.

(By the way, "Venerable" just means he was a monastic, and doesn't indicate a lesser title than "Saint.")

The Invisible Elders of Mt Athos

The Athonite Elders (Το Γεροντικό του Αγίου Όρους) book by the Blessed Venerable Father Andreas Theophilopoulos tells the story of a Lebanese Christian who arrived as a pilgrim in the Holy Mountain in the late 1970s.

Making a stop at one of the places he planned to visit, the skete of St. Anne, the man asked the skete governor, Elder Cyril, which way to take in order to get to the top of the Holy Mountain. After receiving an answer, the pilgrim set out on his journey.

The next morning, before leaving the skete, the Lebanese asked Cyril who the monks he had met on his journey the previous day were. Overcoming linguistic difficulties, the pilgrim told the elder his story.

As he was descending Mount Athos, he met two monks who were drawing water. They invited the pilgrim to their cell and treated him to some figs. When the pilgrim looked around, he noticed that there were about 10 elders, all leaning on sticks, with prayer beads in their hands.

The elders told the Lebanese that they had been living in this place for a long time, and that their main job was to pray for the whole world.

After listening to the pilgrim with surprise, the elder Cyril told him that there had never been a cell in the area he had mentioned, and no monks dwelled there.

An excerpt from Archimandrite Achilles Tsoutsouras, Chancellor of the Sacred Metropolis of Larissa and Tirnavou (From the periodical of the Sacred Metropolis of Larissa and Tirnavou titled To Talanton (November-December 2012). Translated by John Sanidopoulos.)

"Who are they, Elder? Where do they live? Do they exist even today?"

"My child, they are the invisible ascetics, the naked Athonites, the mystical Elders, who live in this garden of our Panagia, Mount Athos."

"How many are there, Elder?"

"There are plenty. Some say nine, others seven, others ten, and yet others twelve. They abide in the more isolated areas of Athos and are invisible to our eyes. They appear here and there to whomever they want, usually monks who have purified their hearts, but sometimes they make their presence felt to blessed pilgrims who live a clean Christian life.

Elder Arsenios the Cave-dweller would say in his stories that these invisible and silent anchorites live with strict asceticism and their work is unceasing prayer, that is, to pray with the heart for the whole world and for all people who are in danger.

They have received a special gift from the Lord, which is why they are able to live under snowy Athos without shelter, without clothes, while being invisible to the eyes of people. It is unimaginably difficult for people in the world to believe, yet in the last two hundred years they are increasingly being revealed. I have met in my monastic life spiritual people and Venerable Elders, who encountered before them these invisible soldiers of our Lord.

Archimandrite Ephraim the Abbot of Vatopedi, Mt. Athos, November 29, 2017:

“That the invisible elders exist is a fact. A few years ago, a revered elder, Fr. Gerasim of Little St. Anne’s Skete, reposed on Mt. Athos. He told us that some people would come into his cell at midnight, and then leave. One of these men would approach the elder to take Communion, and silently leave.

“Fr. Gerasim realized that this man who would appear to him was one of the invisible elders. But one day he broke down and told one of his brothers about it. This man hadn’t seen or heard anything, but after that, the invisible elder didn’t come to Fr. Gerasim anymore.”

Invisible Ascetics of Bukovina Mountains

A “ghost of the mountains” Schemamonk Zosima (Not to be confused with the one who founded a monastery)

It’s true what people say—it was as if he could become invisible. You knew he was somewhere close by, you felt his spirit, but you didn’t see him. So initially he would be invisible for me. Maybe he had gotten to know me better secretly, but he began to appear more often.

Blessed Nikḗtas the Hidden of Constantinople

Saint Nikḗtas became invisible to Sozon. Having returned to his spiritual Father and Elder, the deacon thanked him with tears, that through his prayers, the great hidden saint of God Nikḗtas the Chartolarian had removed the sin from both the living and the dead. (OCA website)

Saint Joannicius the Great

The saint could make himself invisible for people and make others also hidden from sight. Once, Saint Joannicius led Greek captives out of prison under the very eyes of the guards. Poison and fire, with which the envious wanted to destroy the saint, did him no harm, and predatory beasts did not touch him.