If a person is an Extraordinary Minister in another parish, it is the pastor’s or presider at the Wedding Mass’s decision if the Extraordinary Minister may serve.
If such ordinary ministers of Holy Communion (priests or deacons) are not present, “the priest may call upon extraordinary ministers to assist him, i.e., duly instituted acolytes or even other faithful who have been deputed for this purpose. In case of necessity, the priest may also depute suitable faithful for this single occasion.” (General Instruction for the Roman Missal, #162)