Additionally, SLS has successfully demonstrated their part of the Artemis program with the Artemis I launch. SpaceX has not completed a full mission for its part in Artemis III which has now been delayed and caused NASA to start implementing plan B for Artemis V and beyond missions.
It is theoretically possible that Blue Origin will land on the moon before SpaceX if Starship cannot work out all the issues in the next 2 years.
While SpaceX is far and away the leader in private space companies, with significantly higher total number of launches and innovations compared to Blue Origin, it is still possible for them to fail to execute this one specific mission before Blue Origin’s. They should not rest on their laurels because they have completed hundreds of launches. The specifics of Artemis III require SpaceX to execute several launches of systems that have never been to space, and complete maneuvers in space refueling that have never been done before. If successful it will be a huge milestone in human space missions, let alone private space operations. They can fail to do this and because of delays from NASA and other partners could possibly have this mission completed after Blue Origin’s.
Every mission in the past had a fallback contractor for all components.
For Artemis due to political pressure they dropped all fallback options and use spaceX as only contractor! crazy but thats how corruption works
This is the reason Blue Origin sued some years back.
Try a Google search for "Senate Launch System", or "Space Policy Directive 1".