Drop shipping, where you fulfill orders directly from a wholesale supplier, is allowed on eBay. Remember though, if you use drop shipping, you're still responsible for the safe delivery of the item within the time frame you stated in your listing, and the buyer's overall satisfaction with their purchase.
However, listing an item on eBay and then purchasing the item from another retailer or marketplace that ships directly to your customer is not allowed on eBay. In such cases, we may remove your listings from search, display them lower in search results, or remove them completely from the site. We may also limit, restrict or suspend your ability to buy, sell, or use site features on eBay, and you could lose any special status and/or discounts associated with your account.