If the Starcraft disc code hasn't been attached to a Battle.net account in the last couple years, it also entitles you to the Brood War expansion pack (since BW didn't come with a cd key, they can't tell if you owned it or not, so everyone gets it). You just download the "cracked" copies straight from Battle.net website once you put your key in.
If it is attached to a Battle.net account, then the game itself is worthless.
Honestly I have no idea, but I doubt it. I played online for maybe 3 months when the game first game out. I haven't touched it in like 10 years.