Some Christian believe that the Bible are God's words written by men. God's words is of course inerrant and infallible. But men make mistakes. Although God is inerrant and infallible, men are not. I believe that men can make mistakes in the writing, transmitting, translating and interpreting God's words. But remember that the Bible is God's words. So it is much higher then mere human ratio.
Is science infallible? No, practically all great scientists and philosophers of science of the 20 and 21 century agree that science can never bring us to absolute truth.
The Bible being God's word is much higher then any scientific theory and any human philosophy. At least for believers.
So if one study the Bible in a scientific way, one degrade the Bible to be mere human theory or philosophy. So I am against "Higher Criticism".
But I'm open to "Lower Criticism". Of course we must endeavour to get the best copy and the best translation of the Bible. If possible free from human error.