engine shaking on 2001 BMW 330Ci

can my 2001 bmw 330ci engine shakes because a time belt disfuntion?

Asked by for the 2001 BMW 330Ci
More likely your engine has a misfire due to a bad ignition coil or spark plug, or a failed fuel injector. Is the Check engine Light on? If so have the codes retrieved using a scan tool this will identify where the problem lay.