Is Ignatius of Antioch in the Bible?

No, 'Ignatius of Antioch' was a religious writer from around 110CE, who wrote around the same time as Clement of Rome, Papias of Hierapolis and Polycarp of Smyrna. None of them were mentioned in The Bible, though many feel they may have fulfilled prophecy to some extent (2 Timothy 4:3+4/1 John 2:26/1 John 4:1+6/Matthew 23:8+9).