Somewhat, by diluting indoor air with outdoor air, but the EPA calls HRVs a limited-use option whose effect depends on the radon level and how much air they move. They work best in small spaces like basements and rarely replace sub-slab suction.
More detail
HRVs come up in Central Ohio after a house has been tightened with foam insulation or new windows and the owner wants fresh air anyway. If one is part of a radon plan, Ohio's mitigation standards set rules for it: interior supply and exhaust ports at least 12 feet apart, exterior ports at least 10 feet apart and clear of snow and leaves, balanced airflow so the house is not depressurized, screened vents, and written instructions on filter and grille cleaning. The EPA suggests changing HRV filters twice a year. Any change to an existing HVAC system aimed at radon should be reviewed by the system's designer or a licensed mechanical contractor. For most houses, active sub-slab depressurization remains the primary fix.