Congrats on the move—and for looking into home insurance!
To answer your question, a home inspection is not always required to obtain homeowners insurance. It’ll change depending on the provider and specific home.
If your house is older or hasn’t been examined in a decade, the insurer may want to know how much risk they’re taking before insuring it and request a home inspection. In most instances, you likely got a home inspection before purchasing your home, so you typically can forward a copy of this to your insurer. Otherwise, they may send an adjuster to inspect your home before extending a policy.