For 1099 contractors & freelancers
Yes, insurance that protects your business, like liability or professional (E&O) insurance, is fully deductible.
Schedule C, line 15 (Insurance, other than health).
General liability, professional liability or errors and omissions, business property coverage, and cyber insurance all count.
Health insurance is handled separately, as an adjustment to income on Schedule 1, not on Schedule C.
Car insurance is part of car expenses on line 9, and only under the actual expense method.
Policy invoices and the declarations page.
In Smart Deductions, this is suggested as Insurance (Schedule C line 15). You confirm it before it counts.
Sources
General information, not tax advice. For your specific situation, check with a CPA or Enrolled Agent.