Can I perform electroplating with sodium carbonate and copper?
You can try the electrodeposition in a solution prepared by mixing baking soda with vinegar and the copper sulfate. Wear glove and protection glasses. The aluminium must be cleaned before plating. Please let me know the result.

Acidic copper plating on aluminium will cause evolution of hydrogen, so less acidic solution is better. On the other hand you need to have the solution conductive and the baking soda could help.