Assuming this is a Commander draft, you can do this.
After a Commander draft, the deck you build from your card pool can have any number of cards with the same name, so your deck can have two commanders with the same name this way if they both have the ordinary partner ability (C.R. 903.13f, 702.123a).
Notably, the rules for partner don't say the two legendary creature cards with the ordinary partner ability have to have different names (C.R. 702.123a).