Generally no. Homeowners policies are written for sudden, accidental damage, and radon is a long-standing condition of the soil. Most Central Ohio owners pay for testing and mitigation directly or negotiate it as part of a home sale.
More detail
Read your own policy, but do not count on a claim. The more useful money questions are timing and who pays. In a sale, radon is a negotiated repair item: the Ohio disclosure form only asks what the seller knows, and no rule assigns the cost to either side. Outside a sale, compare written proposals, which in Ohio must show both the installation price and the estimated annual operating cost, and ask about any discount you qualify for. For tax or health-account questions, ask a tax professional rather than trusting general claims online. See who pays in a sale and our pricing guide.