Can You Trade When Markets are Closed or Shut Down ?

No, You cannot trade after the Market is Shut Down. The normal trading hours are between 9:15 AM to 3:30 PM.

However, you can place your orders after the Market is closed and that is called AFTER MARKET ORDERS (AMO).

Although, several trading positions close during AMO creating volatility in the market due to which the value of the stocks rise dramatically.