No. How you vote is secret and many steps are taken to keep it secret.
Voting papers are held in secure storage for six months after an election (in case they are needed for a recount or electoral petition) before being destroyed. While they are being held voting papers are kept separate from electoral rolls and EasyVote cards.
You may notice a black sticker on your voting paper with a number – this is to identify votes so they can be extracted if any voter votes twice. The number is not used to track the way people have voted or to compromise the secrecy of the ballot.
The information on the EasyVote card is designed to make it quicker and easier for voting place staff to issue you with your voting paper. It is not used for any other reason and is destroyed after use.