Liability policies for damage and injury are definitely available for video production. Most knowledgeable people involved in video production will require it.
And liability insurance for video producers and videographers is at a premium over most other businesses because insurance company actuaries know there is a higher level of risk in video production. The boat owner who signs on a video crew should realize the risks inherent in that endeavor. Hiring on a producer who cuts corners on liability does so at their own risk.