John 5:36 But I have greater witness than that of John: for the works which the Father hath given me to finish, the same WORKS that I do, bear witness of me, that the Father hath sent me.
John 10:37 If I do not the WORKS of my Father, [b]believe me not[/b]. 38 But if I do, though ye believe not me, BELIEVE THE WORKS: that ye may know, and believe, that the Father is in me, and I in him.
John 14:10 Believest thou not that I am in the Father, and the Father in me? the words that I speak unto you I speak not of myself: but the Father that dwelleth in me, he doeth the WORKS. 11 Believe me that I am in the Father, and the Father in me: or else believe me for the very WORKS' SAKE.
To answer your question directly, yes, even believing is a Work of God produced in us by God -not of man.
1 Thess 1:3 Remembering without ceasing your [b]WORK OF FAITH[/b], and labour of love, and patience of hope in our Lord Jesus Christ, in the sight of God and our Father;
2 Thess 2:11 Wherefore also we pray always for you, that our God would count you worthy of this calling, and fulfil all the good pleasure of his goodness, and the [b]WORK OF FAITH[/b] with power:
Again I will state that even faith, is a work of God produced in us by God, according to the work or operation of God done upon us.
We are of course saved BY GRACE, THROUGH FAITH-but also knowing that faith without works is deed, or I could say it this way faith without fruit is dead.
James 2 is great in understanding this: James 2:14 What doth it profit, my brethren, though a man say he hath faith, and have not works? can faith save him? 15 If a brother or sister be naked, and destitute of daily food, 16 And one of you say unto them, Depart in peace, be ye warmed and filled; notwithstanding ye give them not those things which are needful to the body; what doth it profit? 17 Even so faith, if it hath not works, is dead, being alone. 18 Yea, a man may say, Thou hast faith, and I have works: shew me thy faith without thy works, and I will shew thee my faith by my works. 19 Thou believest that there is one God; thou doest well: the devils also believe, and tremble. 20 But wilt thou know, O vain man, that faith without works is dead? 21 Was not Abraham our father justified BY WORKS, when he had offered Isaac his son upon the altar? 22 Seest thou how faith wrought with his works, and BY WORKS WAS FAITH MADE PERFECT? 23 And the scripture was fulfilled which saith, Abraham believed God, and it was imputed unto him for righteousness: and he was called the Friend of God. 24 Ye see then how that BY WORKS a man is justified, AND NOT by faith only. 25 Likewise also was not Rahab the harlot justified BY WORKS, when she had received the messengers, and had sent them out another way? 26 For as the body without the spirit is dead, so faith without works is dead also.
I pray this helps, this is just my understanding of it. :0)