No. If you were previously denied a gun license, you are not qualified for constitutional carry. The Ohio constitutional carry law allows legally qualified persons to carry a handgun without needing a license or permit.
If you were previously denied, you wouldn't be considered a qualified adult based on the reason for your denial. Felonies, previous drug offenses, and certain mental illnesses are typical reasons for gun license denials. Persons who are subject to a domestic violence protection order are also disqualified.