Yes. Orthodoxy teaches that salvation is entirely the gift of God and that no one earns it. Paul’s words are as true in an Orthodox church as anywhere else: “For by grace are ye saved through faith; and that not of yourselves: it is the gift of God: not of works, lest any man should boast” (Ephesians 2:8–9). Nothing a person does obligates God to save him.
Where Orthodoxy differs from much of Protestantism is not in whether salvation is by grace, but in what salvation is. Many Protestants describe salvation primarily as a legal verdict — a moment in which God declares the sinner righteous on account of Christ. Orthodoxy does not deny that God forgives and justifies, but it understands salvation more as healing than as a verdict. Humanity is not merely guilty; humanity is sick, corrupted, and dying. Christ does not only pardon us. He unites Himself to our nature, destroys death from the inside, and makes it possible for us to share His life. Peter goes so far as to say that we become “partakers of the divine nature” (2 Peter 1:4). The Church calls this theosis. It does not mean a person becomes God in His essence. It means that God’s own life truly transforms the person who is joined to Christ.
This is why an Orthodox Christian will often answer the question “Are you saved?” with something that sounds evasive but is not: I have been saved, I am being saved, and I hope to be saved. Scripture uses all three tenses. We were saved (Titus 3:5). We are being saved (1 Corinthians 1:18). We shall be saved (Romans 5:9–10). Orthodoxy simply refuses to collapse all three into a single past moment.
So the honest answer is that an Orthodox Christian does not usually speak of salvation as a transaction already completed and filed away. He speaks of it as a life he is living, by grace, in Christ, within the Church, and he hopes to finish it faithfully.
Study this further: Working Out Our SalvationBible study · Ten parts · Scripture and the Fathers