Yes, especially on lower floors. Talk to your landlord first; in Ohio, landlords are not required to test or mitigate, but many will work with you. Free or low-cost test kits are available from the Ohio Department of Health.
More detail
Ohio is one of the majority of US states that does not require residential landlord radon disclosure or mitigation. Some progressive cities (notably Illinois and parts of Maryland) have introduced rental-property radon disclosure laws, but Cincinnati and Columbus have not. Practically, a tenant who tests their unit and finds elevated radon has three reasonable options: (1) request the landlord install mitigation (some will, some will not, no legal obligation), (2) negotiate rent reduction or lease termination, (3) self-mitigate using portable HEPA-style approaches plus increased ventilation, recognizing that none of those approaches matches the effectiveness of active sub-slab depressurization. Free test kits for Ohio renters are available through the Ohio Department of Health Radon Program at limited intervals; check the program page for availability. Cincinnati-area landlord conversation framing: many small landlords (1-5 units) are receptive to mitigation when the tenant frames it as a long-term property-value improvement rather than a tenant-only concern. Mitigation increases a Cincinnati rental property's resale value modestly and demonstrably and reduces vacancy turnover for tenants who care about indoor air quality. Larger property managers typically defer to corporate policy.