Is there any warranty on a bow purchased online & is there any way to transfer the warranty of a Mathews bow?

No. The Mathews bow warranty ONLY applies to the original owner of a bow when it’s purchased from an authorized Mathews retailer. There is no way to transfer a warranty or purchase warranty for a used bow. If you are purchasing a gift you will be encouraged by your retailer to register the bow to the person receiving the gift, not the purchaser.