No, two seperate time-lines were initiated when Cyberdine was blown up.
One which follows the events as they happen in the film, then continuing into an era of unexpected peace and tranquillity.

The other which encompasses everything branded with the Terminator franchise since and which sucks donkey balls.
( Spider Fucking Riviera got stiches for a knife wound for the first time, Wed 29 Jun 2011, 1:12, archived)