No and Yes.
If your one design has already been awarded in a previous contest, then you cannot use that design for a different contest because that could lead to legal problems regarding copyright. To prevent cases like this, we do not allow designers to submit the same design to multiple contests.
But if you would like to reuse a non-winning design in another contest, you are required to withdraw it prior to submitting to the new contest. If you’re not able to withdraw it for any reason, please contact support team so we can withdraw it on your behalf.