Insurance for the jumper seems to not be a problem. I couldn't easily find out about liability insurance for the operator, but I'd imagine that it's possible for the right price.

https://www.moabbaseassociation.us/insurance

https://www.globalrescue.com/common/blog/detail/is-base-jump... — "You’re certainly welcome to go BASE jumping under a Global Rescue travel protection membership as we have no altitude or activity restrictions."

https://www.base-jump.com/en/insurance-en