The short answer is no, you cannot.
Our system is designed to ensure that all core items are properly charged when they are ordered. We are not able to override this process.
We are however happy to accept the core of the part you are replacing. Once we have received the core, we will inspect it and issue the appropriate refund to your order. Please ship your cores back to us within 1-2 weeks of receiving the replacement part. We typically receive, inspect and issue the refund all in the same day.