Is Chiari Hereditory? Congenital?
Researchers investigated the genetic implications of the Chiari malformation with or without syringomyelia. A genetic prevalence has been identified in some families. Researchers continue to search for the gene(s) that are responsible for producing the Chiari malformation.
Certainly ACM has been found to be present from birth, however many people will be asymptomatic until such symptoms are experienced as a result of some kind of trauma.
Other links that you may find interesting:
A Quick "What is Chiari and Syringomyelia?"
Decompression Surgery Recovery

When I was diagnosed 10 years ago I was told there was no way I would have Chiari, although my mother did. Since then Ive heard that there is a 12% chance of it being passed on but interestingly my mother and I applied to take part in some research and we were told that there weren't enough members of our family affected to qualify for it!