No, it will still work.
I had a card with a damaged RFID loop, couldn’t get it to tap and pay any more. Ordered a new card through the flow in the app, and old card still worked just fine for chip and PIN in the meantime.
Once the replacement was received and activated, then and only then was the damaged card totally unusable.
As Mike says, just make sure you don’t do a ‘lost or stolen’ order.