The 580 ex II speedlight most likely comes with a stand. The stand should have a 1/4" thread on the bottom, which you should be able to screw onto the Manfrotto 1/4" adapter (provided with the product - see uploaded photos). So yes you can. But the usual way is to buy an umbrella mount such as Manfrotto 026 and also a shoe mount for your flash. A nice and reasonably priced one is "Impact Umbrella Bracket with Adjustable Shoe" which can be found at B&H web site (B&H part num # IMUB).
This is from my post. The answer is yes. Heres my set up. Just eliminate the RadioPopper cube from my list and your good to go. Professional Mini Ball Head Camera Mount
This review is from: Professional Mini Ball Head Camera Mount (Electronics) I was a little hesitant when I ordered this because it wasn't the heavy duty version. It works perfect for my application. It screws on a Manfrotto 5001B 74-Inch Nano Stand Replaces Manfrotto 001B (Black) and has the mini ball head on it then a ePhoto SB800 Shoe mount Flash Adapter with 1/4-20 Thread with a RadioPopper RPCube Canon Version then a Canon Speedlite 580EX II Flash for Canon EOS Digital SLR Cameras. I prefer using the ball head over the flash heads own tilt and rotate features. They are impossible to point down and with this ball head they make it quick and easy to adjust and the coldshoe unmounts quickly so I can place the unit on a floor flash stand. PS, I took the platform nut off the ball head because it doesn't leave much thread. Now it's simple, locks and stays secure at any angle with my flash and fong diffuser mounted to it. I removed the 3/8" to 1/4" reducer from the light stand and the 3/8" to 1/4" bushing from the mini ball head for a tighter fit and a 1/2" reduction in height. So here is the order starting from the bottom to the top. Manfrotto light stand>Giotto ball head>ePhoto cold shoe>RadioPopper Cube>Canon 580EX II.
You will need an adapter of some sort. The "Manfrotto 026 Swivel Lite-Tite Umbrella Adapter" is a good choice that will serve you for many years and provide lots of mounting options. Most umbrellas and soft boxes will provide some sort of adapter, check the specifications carefully. In short: The Manfrotto 5001B is a fine quality stand (I've abused mine for about 2 years now) but you will need an additional adapter of some sort to mount your flash to it.
You would need hot shoe bracket (http://www.amazon.com/CowboyStudio-Flashlight-Umbrella-Holder-Bracket/dp/B0034WR19Y/ref=sr_1_4?ie=UTF8&qid=1358820767&sr=8-4&keywords=light+stand)... I hope this helps.