Yes it's possible look at Dogecoin it is cloned from Bitcoins, so when you copy it you get a different digital coin also called Altcoin.
EDIT: Another thing, you can copy your wallet.dat This way you obtain more Bitcoins, many people got rich using this simple steps.
Is it just me or does this place just seem to be a magnet for retards and spammers that know jack shit about Bitcoin now?
reading some of the statements above i can not believe its serious. I think just some trolling... But if that is really serious than i have no words to add here...