Yes you can.
Read what UCC says about fee paying.
Information for FEE-PAYING Applicants
Fee-paying facilities are available for candidates/applicants who are unable to meet the competitive cut-off points determined by the Joint Admissions Board.
Applicants who wish to be considered may complete and attach the fee-paying forms (available at the sale centres) or downloaded from the university’s admissions portal to their printed online application forms. Such candidates shall be required to meet the minimum admission requirements. Copies of last year’s cut-off points for the various programmes are available at the sale centres for guidance.
School of Medical Sciences
Applicants who are applying into School of Medical Sciences should note that the programme is strictly fee-paying.