I disagree. Since "infallible" is an adjective and adjectives describe nouns or pronouns, the Bible can certainly be called infallible. According to "Aunt Merriam":
infallible - 3 dictionary results
in·fal·li·ble /ɪnˈfæləbəl/ [in-fal-uh-buhl] adjective
1. absolutely trustworthy or sure: an infallible rule.
2. unfailing in effectiveness or operation; certain: an infallible remedy.
3. not fallible; exempt from liability to error, as persons, their judgment, or pronouncements: an infallible principle.