Possible but not recommended. Improperly designed systems can fail to lower radon, increase moisture damage, or create back-drafting hazards in combustion appliances. Ohio licensure exists for a reason.
More detail
The three failure modes that DIY installs commonly hit. First, undersized or oversized fan: a fan rated for 80 CFM on a 2,000 sqft basement leaves dead zones; a 250 CFM fan on a 600 sqft slab over-pulls and depressurizes the home enough to back-draft a natural-draft water heater (carbon monoxide risk). Second, sealing miss: the suction pit needs to pull from beneath the entire slab, which means visible cracks, sump pits, and any plumbing penetrations need polyurethane caulk. DIY installs commonly skip sealing because it is the unglamorous part. Third, routing that violates IRC code: stack outlets must terminate above the roofline and 10 feet from any operable opening. Resale-time inspection often catches non-compliant DIY installs and the buyer's lender can reject them. Ohio licenses radon mitigators through the Ohio Department of Health Indoor Radon Program under Ohio Revised Code 3723.02. NRPP or NRSB credentialing is required to qualify for state licensure, and real-estate transactions typically require the contractor license number on the post-mitigation report. If a Cincinnati homeowner does proceed with DIY: minimum equipment list is a 4-inch PVC suction pipe and fittings, a Radonaway-grade fan ($200-$350), a U-tube manometer ($25), polyurethane caulk for sealing, dedicated 15A circuit hardware, and post-install testing equipment (rent a CRM for $50-$80/week). Expect 2-3 weekend days. Always run combustion-safety testing on natural-draft appliances before declaring the project done.