There are two answers to this question. This first answer is “Yes.” The second answer is “No.” Unlike modern non-fiction and like so many writings and artifacts ancient of date, we do not have the authors’ ‘sources’ for the Apocrypha. Because of this, we each have to answer this question for ourselves.
Understanding the history of the Apocrypha will aid in your decision. When the great library at Alexandria was being assembled, the current ruler of the ‘known’ world heard of an ancient book that the Jews had and felt it deserved a place in his library. Unfortunately, his library was in Greek and the Jews’ book was in Hebrew. He assembled 72 scholars (supposedly six from each of the twelve tribes) to translate this book and the result is what is known as the Septuagint. Several hundred years after the death of Christ, the Jews felt they needed to create a cannon of scripture and what it contained is what is in our current Old Testament. The Apocrypha is a collection of the fifteen books that were not included in the Hebrew Cannon, but which were included in the Septuagint. In Europe, when Protestantism began to take hold, various churches made their own decisions as to the Apocrypha’s validity and whether or not they would teach it.
In the LDS church, Joseph Smith received the following revelation on the Apocrypha:
“Verily, thus saith the Lord unto you concerning the Apocrypha—There are many things contained therein that are true, and it is mostly translated correctly; There are many things contained therein that are not true, which are interpolations by the hands of men… Therefore, whoso readeth it, let him understand, for the Spirit manifesteth truth; And whoso is enlightened by the Spirit shall obtain benefit therefrom.” (D&C 91:1-2, 4-5)
There is much in the Apocrypha that is useful. For example, have you ever read from some of the prophets of the Old Testament and not really understood what was going on? Some of this is explained in the historical books, such as First and Second Kings and Second Chronicles; however, Ezra, Malachi, Haggai, Nehemiah, and Zechariah have no corresponding history in the Old Testament. The Book of First Esdras in the Apocrypha explains well the time period or Nehemiah and Ezra and deepens understanding of these prophets.
One must continue to read with care–recall that not everything in the Apocrypha is true. I suggest that you read with the Spirit so that you may decide for yourself that which seems right in this interesting work.