This is Oswald, a Guru here at Shopify!
I have taken a look at the App store and there isn't anything in place similar to Oberlo or close to its functionality.
You can reach out to the seller directly and see if any of them are willing to offer you dropshipping for their products and then utilize the Custom fulfillment feature within Shopify to send out and email to eBay seller to a specific email address with the other details to fulfill. You will need to work out a payment system with them directly so they can ship out the product without you having to place an order manually every time an order comes through via eBay.
Hope the information above helps! If you have any other questions, feel free to reach out to the Guru team. :)
Oswald | Shopify Guru