No, not in any way that matters.
Any condition like autism has numerous causes and influences. Every patient is unique. Every child is unique. In individual cases, it could be possible that a vaccine could have influenced some causal factor that may have aggravated autistic symptoms. But in the aggregate, there is no causal correlation once one has properly controlled for a few variables.
The people who want to talk about vaccines causing autism are demonstrating a real lack of the complexities of neurochemistry and of tracing causes of any condition.