Just what the title states with the qualification that the change must be affected without using other celestial bodies as mentioned in the Clarke/Baxter SF 'Sunstorm'.
Obviously given the momentum of Earth it would require a major something to break the inertia. But something like the way an ice-skater whilst spinning on their own axis can apply a touch of heel/toe at the correct point to change the way they spin. For instance, change the rate at which our oceans move with the spin of Earth ...
This is a 'curiosity' question rather than a real-life problem so please feel free to vote to close.