Yeah i'm 90% sure u can... i remember reading it somewhere official. Just so you know, you can download all of Blizzard's current games via battle.net (D2, Starcraft etc) as long s you've registered a cd-key to your account. 
 
If for some reason they don't allow downloading when the game is first released, you could also put the DVD in a computer that does have a DVD-Drive, then create an image of it and mount the image on your m11x using daemon tool lite or alcohol 52%. It's very morally okay if you are creating the image off your own disc. Alternatively you could use an external dvd drive plugged in via usb, but as the other options are free i'd pick them above this one. 
 
What are the specs of your m11x? Does it run SC2 well? I was thinking about getting one.

Eventually I'm sure Blizzard will sell CD Keys through their store, and then have the game available for digital download.
 
Right at release they won't to force people to shop at the stores for a bit and move some boxes.  Also to take pressure off the servers which will be swamped with people on the early days.  They will later for sure.  They have with every other game so far.  No reason they wouldn't this time too.

Kind of an old thread but since I have the answer, I'll give it anyway. 
 
The answer is that starcraft will NOT be available for digital purchase at release. It will be available for digital purchase "soon after" the retail release. 
 
HOWEVER, you are not out of luck. You can purchase the game, tie the cd key to your bnet account, and THEN download the game. So yes, you can download it, you just have to buy a retail copy first, rather than an online one. 
 
Hope it helps.

Activision needs to have the unit sales be absurd for the first month to get stock prices to go up, that's why it's not available for digital purchase day one.  So lame.

o_0 
How many gigs is it? If you digidownload from battle.net it would take months. 
Took me 8 hours to dl 1.2gigs of Starcraft Battlechest....fair enough i can only get 100kbs, but the DL on battle.net was muuuuch slower 

All blizzard games are downloadable as long as you have the key tied to your Battle.net account.   
 
I must've re-dl'ed WC3 and D2 well over 10 times this year alone.   

Of course. There's no reason at all to buy retail until the inevitable "battle chest" 3 years from now and that will probably be downloadable too.

" Of course. There's no reason at all to buy retail until the inevitable "battle chest" 3 years from now and that will probably be downloadable too. "

" Of course. There's no reason at all to buy retail until the inevitable "battle chest" 3 years from now and that will probably be downloadable too. "

God don't say that.

I think Blizzard just said you can download the thing now.  And then pay for it when it's "on shelves" to unlock access to the game.

" @ryanwho: You know it's true.  2010 - SC2 Terran & WoW Cat2011 - Diablo III 2012 - WoW Exp 2013 - SC2 Zerg 2014 - Diablo III Exp 2015 - New MMO 2016 - SC2 Protoss  That's being optimistic too.... "