If I answer "yes there are people who will not be saved", then I am their judge or at least judging them as destined for hell. But we are commanded not to judge our brothers and sisters as though they are Raca which is to say "worthless":
Matthew:
{5:22} But I say unto you, That whosoever is angry with his brother without a cause shall be
in danger of the judgment: and whosoever shall say to his brother, Raca, shall be in danger of the council: but whosoever shall say, Thou fool, shall be in danger of hell fire.
...
{7:1} Judge not, that ye be not judged. {7:2} For with what judgment ye judge, ye shall be judged: and with what measure ye mete, it shall be measured to you again.
And if I say no, then I am deciding for God who he will save. And if I tell my brothers and sisters that they will be saved, and I have no power to save them, then it is sin for me because, I as a child of God, have no power to save.
So I don't think I can answer and remain without sin, but I can quote scripture:
Revelation:
{20:13} And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works. {20:14} And death and hell were cast into the lake of fire. This is the second death. {20:15} And whosoever was not found written in the book of life was cast into the lake of fire.
So the matter of judgment, and thus who will be saved, appears not to be who desires to be saved, but rather our works should judge us.
And this appears to be a reference to the Book of Life, although it doesn't reference Life but rather God's book:
Exodus:
{32:31} And Moses returned unto the LORD, and said, Oh, this people have sinned a great sin,
and have made them gods of gold. {32:32} Yet now, if thou wilt forgive their sin--; and if not, blot me, I pray thee, out of thy book which thou hast written. {32:33} And the LORD said unto Moses, Whosoever hath sinned against me, him will I blot out of my book.
So then if I interpret this book to be the Book of Life of God, then it's clear who will not be saved, it is them that sin against the Lord God. And it mentions not whether or not they desire salvation.