COMPLETE button on Reconcile Bank Statement Window

 HI

there is a button 'complete' on Reconcile bank statement window. I understand as long as someone has access to this window, the person can mark it as 'complete' stopping from any future changes to statement.

OR

can uncheck box 'Complete' in order to unfreeze the statement and make any changes.

My question is is there a way we can assign this to function to specific users and not to others while both set of users have access to 'Reconcile bank statement' window. In other words is there something we can exclude on functiona/menu side to exclude 'complete' button from certain responsibilities.