Can I perform electroplating with sodium carbonate and copper? I want to avoid anything poisonous during electroplating. I can't avoid copper oxide though.

I have dissolved $\ce{Na2CO3}$ in water and I'm trying to electroplate aluminium with copper:



As you can see I'm doing it with no actual chemical equipment. Actually I'm trying to discover ways that can be done at home.

In the water, I can see copper hydroxide ($\ce{Cu(OH)2}$) and copper carbonate ($\ce{CuCO3}$), both formed from the copper anode. But the aluminium heatsink does not seem to have any copper on it. Will it take time or am I just wasting copper here?

If this is not gonna work, what is gonna work? Could I use vinegar?
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.