I think I read a while ago here on the forum someone trying the opposite. According to searches it should be possible, but he couldn't get it to work.
As it happens my neighbour has a sp3 and his mother has a s2. I can ask him if he is willing to try it.
Otherwise you can always go to a local store and ask them if you can test one of the sp3's type covers. I did this once to test if my s3 or my type cover w's defective. Was not aan issue at all