Yes. This is worked out carefully in [Michael Ching, Bar constructions of topological operads and Goodwillie derivatives of the identity, Geometry and Topology 9 (2005), 883-954].
Added later, after Conner Malin's comment ... The paper [Ginzburg, Victor; Kapranov, Mikhail. Koszul duality for operads, Duke Math. J. 76 (1994), no. 1, 203–272] is perhaps the first paper in this area.