Perhaps, but then again, if not in fellowship with God at the time of spiritual influence, one must discern if he was under demonic influence or guidance by God the Holy Spirit.
A good work of God is the faith of the believer. His work always glorifies the Son. If Dostoevsky’s work glorifies the Son, then perhaps he was under the guidance of God. On the other hand, if not glorifying of the Son, then the work is discernible from that of God.
Romans 1:21-32
21 Because that, when they knew God, they glorified him not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened.
22 Professing themselves to be wise, they became fools,
23 And changed the glory of the uncorruptible God into an image made like to corruptible man, and to birds, and fourfooted beasts, and creeping things.
24 Wherefore God also gave them up to uncleanness through the lusts of their own hearts, to dishonour their own bodies between themselves:
25 Who changed the truth of God into a lie, and worshipped and served the creature more than the Creator, who is blessed for ever. Amen.
26 For this cause God gave them up unto vile affections: for even their women did change the natural use into that which is against nature:
27 And likewise also the men, leaving the natural use of the woman, burned in their lust one toward another; men with men working that which is unseemly, and receiving in themselves that recompence of their error which was meet.
28 And even as they did not like to retain God in their knowledge, God gave them over to a reprobate mind, to do those things which are not convenient;
29 Being filled with all unrighteousness, fornication, wickedness, covetousness, maliciousness; full of envy, murder, debate, deceit, malignity; whisperers,
30 Backbiters, haters of God, despiteful, proud, boasters, inventors of evil things, disobedient to parents,
31 Without understanding, covenantbreakers, without natural affection, implacable, unmerciful:
32 Who knowing the judgment of God, that they which commit such things are worthy of death, not only do the same, but have pleasure in them that do them.
Dostoevsky was a former anarchist radical turned Christian. Disdain for atheism, socialism, anarchism, “free love”, etc. drips from his novels (oddly enough many leftists are fans of his, either because he is the greatest writer who ever lived and they overlook his mockery of them or because it is over their heads) as does praise for God and salvation through Christ as a means of redemption.
Read The Brothers Karamazov or Crime and Punishment or Demons.