Are there any Biblical passages that say that devil is able to make you doubt your faith? Is the devil able to and make you doubt your faith? 

Are there specific Biblical passages relating to this topic? 

Sometimes I find myself doubting my faith when reading certain passages of the Bible, such as the beginning of Matthew (before Jesus gets his disciples) where Jesus seems more like a man than like God. A specific example is "What if Christianity is just a big hoax perpetrated by ancient people?" 

I try to race these thoughts out of my mind and I try not to dwell on them, but is the devil able to give me such doubts or is he powerless to intervene in my relationship between me and God? The only other alternative seem to be that there are signs of my lack of faith, hinting that I am not truly saved.
From the Temptation of Jesus Christ (Matthew 4:1-11), we can see 3 ways of temptation by Satan in order to introduce doubts in our faith.


Ignoring the word of God: Satan told Jesus to turn the stones into bread. Satan always reminds us of our daily needs and make us worry over it instead of putting our faith in the Word of God. This introduces doubt in us over the importance of God's word in our daily life. As Jesus resisted the temptation by using the Word of God, we should also resist the temptation by meditating "Man shall not live on bread alone, but on every word that comes from the mouth of God". 
Doubting the power of God: Satan told Jesus to jump down from the temple to see whether God will help or not. When we have trials and temptations, we question the power of God by pondering "Can God really deliver me from this trouble?".  Satan will try to make us doubt the power of God but we must resist it by saying "Do not put the Lord your God to the test".
Worldly pleasures: Satan tried to offer the whole world to Jesus on one condition, worshiping Satan. Satan is ready to give us worldly pleasures if we worship him knowingly or unknowingly by pursuing worldly pleasures. Worldly things can drift us away from our faith.  When we are attracted by worldly pleasures, we should reply, “Away from me, Satan! For it is written: ‘Worship the Lord your God, and serve him only.’”


If you have doubt over the authenticity of the Bible itself, you will have to make a little extra research on the history of "How we get our Bible". Many good articles here and elsewhere will be convincing enough on the authenticity of the Bible.