No Sir~ Dimensional differences in the upper and lower receivers. In the case of the 15-22 it also has a polymer receiver not aluminum. But S&W changed dimensions to prevent that from happening as far as I know!
As far as I know it takes a true 5.56 with a 22lr conversion to do what you are asking. Not the 22LR's as the majority of them are custom machined for the 22LR. Find a smitty/machinist to test your theory. I'm betting a lot of modifications will be required.