I mean, he could, but with no radiation shielding they would be bombarded by radiation probably eventually knocking the electronics out (have no clue on the time-frame). Additionally, if they happen to be on the bright side at any time and being black, a melt would be in order, so they'd also have to be repainted. This one is my speculation, but, probably the radiation shielding in the ISS would prevent the remotes from communicating with the cameras.

If all those issues are resolved, great pictures, barring that, just don't have lights inside the cupola and you're golden IMO!