CO report painter check

we have one customized cost center report, designed in GRR1 under standard report library, we create a tcode for it.

in cost center master, we maintain person responsible, the requirement is responsible people only can see their individual cost center.

currently every people who are assigned to this t-code can see all the cost center in this Z report

can we build authrozation on this report painter report, my opinion is not possible, any experts can show any alternative way? thanks