Daniel, the author, lived in 6th century B.C. Alexander the Great was born in 356 B.C. As long as the author was Daniel, then your observation doesn’t hold water.
A relentless charge by liberals is that Biblical books are written much later than they actually were. Don’t have particulars now, but I could do some study if you are really interested in doing something besides slinging mud at the Bible.
“Daniel, the author, “
Circular logic.