Can we plate zinc over copper by electro plating?

Yes, it is possible.

The cathode will be copper

The anode will be zinc

The electrolyte (solution) will be zinc dissolved in vinegar and water.

 

First at anode zinc will be oxidised and converted to Zn²⁺ ions.The two electrons released move to towards the copper rod through the electric wires.Zn²⁺ ions move into the solution.

Copper rod is cathode(negative pole of the battery)  and since it is negatively charged, it attracts the positively charged Zn²⁺ ions. These Zn²⁺ ions reach the copper rod through the solution. They accept two electrons on the copper rod.  The positive charge is neutralized  and 'reduce' it to a metallic atom of Zn. Thus, zinc gets depositied on the copper rod.