Imam Ibn Baaz was asked regarding a man giving the Athan and another giving the Iqaamah he said:
Their is no problem in regards to that, but that which is better is that the one who gave the Aathaan give the Iqaamah, as the situation was at the time of the prophet صلى الله عليه و سلم
And it has been reported from him صلى الله عليه و سلم that he said “The one who gave the Athaan should give the Iqaamah” but its chain is weak.
و الله ولي التوفيق
Majid Jawed al Afghanee