No. The phone needs to be in close proximity (within less than a centimetre) of the contactless terminal and will only attempt to communicate with the terminal if the phone is awake. If a payment is made, the contactless terminal will beep and your phone will vibrate and/or beep to let you know. The terminal display will confirm the payment was made successfully.
Contactless terminals are also only able to make one transaction at a time - each transaction must be complete or void before another can be made.