Well, not if chess were created today, the way it was created originally. It took until 997 for The Queen to replace The Chancellor/Minister, and even then she could only move one square diagonally only. It took till the 1400's for her to gain a flying mount, or whatever the explanation is for her current OP movement status.

Bishops replaced Elephants in the 1200s, but could only move 2 squares, diagonally, at a time.