Not to my knowledge. Fraternities have had a shaded past on Davidson's campus. When my dad went there (he was initiated in Sigma Phi Epsilon), I know that there was a movement from the administration to move to a more inclusive policy for the fraternities (at that point in time, Davidson was all-male). As a result, I know that some of the fraternities moved off campus. When dad was a senior, women started being admitted as regular, full-time students. I think the eating houses were started because women wanted a "sorority" experience, but knew the fight for an NPC would be an uphill battle. You can read
this to see the current sentiment (well, the letter was published during my sophomore year).