Dropshipping is a tricky business to get into. I will warn against dropship wholesale programs like the ones that show up when you Google search for 'dropshipping'. Only because they aren't a true dropshipper. They are the middle man. They advertise products with a "retail price" that is higher than any where else that you can buy the product (like Amazon for example) then they'll list their price as the wholesale price which is more comparable to the actual "street price" thus leaving you with very little margins or even sometimes you can find the same product for cheaper on Amazon. Manufacturers that offer true dropshipping services for their products don't advertise their dropshipping service on Google.
The 'real' way to get into dropshipping is to contact manufacturers directly. Large companies will most likely ingore your requests to work with an individual selling on eBay. Most eBay sellers that are able to make some good money are those actually have a brick-and-mortar retail store that sell their additional inventory on eBay. You'd have much better luck setting up a dropshipping agreement with companies if you had an established retail business in that niche.
You need to find a specific niche that will work. Consumer electronics are very popular for consumers. This means that everyone and their dog are trying to sell those things on eBay creating a lot of competition and very low profit margins.
I'm not saying that it's impossible to get started with a eBay dropshipping business but you'll spend far too much time and money before you see a return on investment. There are much better ways to earn money with physical products on the internet.
To get started with an eBay business, the best way would be to create your own physical products to sell. I've coached people that sell all sorts of things on eBay. I've seen the most success when people sell their own products on eBay. Make and sell candles or soaps. If you're good with fixing things up. Hit thrift stores and garage sales to find things to restore and sell. By making your own product you have more control over your inventory and product selection. Once you begin selling regularly on eBay then you can start branching out to include other products that are related to your products. For example, if you make and sell candles. Find a dropshipper for Candle Warmers.
This will be the best way to get started with a dropshipping eBay business.