Perhaps. But I have yet to see any credible scientific study (even epidemilogical, which are the weakest type) that supports the Vaccination -> Autism connection. That is surprising as trial lawyers know there are billions of dollars to be made if such a connection is found and there is little doubt that such studies have been attempted in private by the trial lawyers. There's a reason their results are still private.
I always cite Love Canal as a caution. As far as any reputable statistician can tell, that was statistical noise that cost our society hundreds-of-millions of dollars.
"even epidemilogical, which are the weakest type"
Would there be epidemological data if the cause were as random as that? An occasional unshaken bottle causing an occasional case?
There wouldn't even be clusters. Seems like that would be really hard to read from data.