No. The original script for the matrix was pretty different. A lot of elements of it that were cut ended up in the actual sequels. It was never really gonna be a trilogy but they had outlines for everything which is normal in production.

The original matrix ending was a lot less heroic, Neo doesn’t kill the agents, he just wins and flips them off and leave. Then the final part ended with it being highly hinted at the real world being another matrix level