No, as far as you are still alive. You must perform your own Qadha as soon as you can during your life. If a person passes away before completing all his Qadha prayers and fast and Hajj, some one else will be allowed to perform the Qadha on his behalf whether with payment or with out payment.
You can ask or pay during your life to some one to perform Qadha after your death but this will not free you from the responsibility of the Qadha until you perform it yourself during your life. If you die before performing your own Qadha worship, you have to suffer a lot till Qadha is completed after your death.