Given how Fallout Shelter seemingly already has some very direct correlations to Fallout 4, for example Fallout Shelter has Food, Water, Electricity and People the same way the new communities that you can build in Fallout 4 shows. (Side note... wonder if babies will be made in the same way as well?) If there is also a correlation between Shelter and 4 when it comes to outfits/armor, then it may be possible that specific armor/outfits increase SPECIAL stats as well. I know in previous Fallout games depending on what you were wearing some SPECIAL stats were increased, now with the layered armor system instead of just 'all one outfit', that could lead to some pretty interesting possibilities. I guess it depends on how the layered armor system will work. Perhaps it is the base 'outfit' with additional 'armor' items above it. Still, looking forward to the possibilities.
Additionally, in previous Fallout games you could find books scattered throughout the wasteland and when you read them it would increase one of your SPECIAL stats by 1 point. Now, in Fallout Shelter there are training rooms designed to increase a 'players' stats. Now, I don't think you will be sitting in a room for 'x' number of hours to increase a specific stat... but perhaps there will be a time related training system that allows you to slowly increase a specific stat. Because, lets be honest, reading a book doesn't realistically give a good basis for immediately increasing a SPECIAL stat but a time related 'training' period would be more realistic.
Anyway, its just speculation. Curious what you think though.
One last thought. Preston Garvey. In Fallout Shelter Preston Garvey has 39 base SPECIAL points and 8 (well, actually only 7 because of the cap at 10) additional SPECIAL points added due his outfit.
Without outfit.... S:3 P:9 E:8 C:6 I:4 A:6 L:3 Preston Garvey Outfit: S:+2 P:+2 I:+2 A:+2
Wearing outfit... S:5 P:10 E:8 C:6 I:6 A:8 L:3
So, not only was that character not limited to the SPECIAL stats cap of 28 (the number of points we can allocate at the beginning of Fallout 4 as shown in the demo), but his stats are also increased further due to his clothing options. This is what got me thinking about this whole thing.