Not really anymore. They previously had Touchstone, Hollywood, and Miramax operating as full blown studios that would make PG13 and R rated films. Miramax was sold off and they kind of just shut the other two down.A toned down Disneyfied Deadpool would fail.
Why would Disney do that? They release their R movies from their other studios.
The closest they've done to that recently was their weird distribution deal with Spielberg and Dreamworks - Lincoln, Bridge of Spies, War Horse, etc