Property and Crime insurance policies have exclusions for loss by Voluntary Parting or False Pretense. A common industry property form reads:
"We will not pay for loss or damage caused by or resulting from any of the following...Voluntary parting with any property by you or anyone else to whom you have entrusted the property if induced to do so by any fraudulent scheme, trick, device or false pretense."
The insurance industry often takes a "wait and see" approach to new risks. First, they exclude it. Second, they give it some thought. Third, one carrier offers the coverage and starts to make money. Forth, other carriers follow the leader,
Right now, a few insurance companies are starting to offer Social Engineering Fraud coverage. Travelers offers the coverage as an endorsement to their Crime policies.
You can find out more at their website.
The industry will continue to evolve on this, but the best defense is to call and verify.
If you have a similar story to share, please send it to me at firstname.lastname@example.org.