No!! There is no split-screen or co-op for battlefield: bad company however there is a petition you can sign for free to get these features put in via an update. If you would like to sign this petition follow the link below. If we get enough signatures theres a good chance they will add split-screen, I heard this same sort of thing happened with COD 4 so they added it.
http://www.petitionspot.com/petitions/BattlefieldBC
Ps. let all your friends know about this petition, spread the word.
SPLIT-SCREEN RULES!!!