I just bought starcraft 2 recently but scared to open the box because you can not return the game due to the way the online accounts work. The main problem is that I use a laptop and a pretty shitty one at that. I'm going to put my specs and if you know if it's good enough please tell me. Also, the game says the required specs are a good amount higher then what my laptop is, but I think that it's on high graphics that is stated on the box, I would be playing on low graphics obviously. 1.83 GHz 3.00 RAM If you play Starcraft 2 and have anything lower do tell me.
You don't need the game to be downloaded on your computer.. Just go to the site that Bloo linked, follow the instructions, and you can see if you can run it.
Make sure you're using firefox or internet explorer because it doesn't work for chrome or safari. Or opera.
Thanks for that link, although I used this for a completely different reason (I wanted to see if I could run FFXIV because I was worried and it turns out that I can almost run it on my laptop >-<) Edit: It DOES work for chrome