Short Answer
Yes and No!
Answer Expanded
You can use Clay brick tiles in a fire as they are cut from actual bricks.
Clay bricks when manufactured are fired in a kiln at temperatures of up to 1,200°C. Naturally fired clay is inert meaning they are going to be fireproof to a certain extent. As with any product heat has an effect over time and can cause pressures and stress on the material which can lead to structural failure.