If not what would be the correct order?
No, they are not in chronological order.
In the Christian Old Testament, books are arranged in 4 main blocks: The Law (Genesis through Deuteronomy), Historical Books (Joshua through Esther), Wisdom Literature (Job through Song of Songs), and Prophets (Isaiah through Malachi). This does not reflect the standard Jewish arrangement, which divides them also into 4 groups, but Law (Genesis through Deuteronomy), Prophets, divided into Former prophets (Joshus through Kings), then Latter Prophets (Isaiah through Malachi), then Writings (Psalms, all the wisdom literature, Esther, Daniel, Ezra-Nehemiah, and Chronicles).
The Catholic and Orthodox Old Testaments differ in including the deuterocanonical books and generally following a version of the Septuagint.
New Testaments are pretty standard across major Christian groups, arranged in genre: Gospels, Acts, Epistles, Apocalypse.
None of these attempt to be chronological nor is chronology their main guiding principle (sometimes length is, sometimes rough chronology).
To re-order them chronologically is difficult, because of the difficulty of dating some books (Job is particularly difficult). Also it depends whether you want to re-order them in compositional chronologically or subject-matter. Below is one possible suggested chronology. Personally, I don't find this task particularly enlightening, but I am willing to discuss the dating of individual books in greater detail, so follow-up questions fire away.