Sucker Punch Productions would definitely be a great fit for this, but I don't think there's been any actual leaks as such for this, just some speculation based on the fact that Spidey is a super hero, that there hasn't been a new game done well for a long time and the fact that Sucker Punch makes good super hero games or games with people who have super powers.
Personally I think it would be more interesting to see Sucker Punch make something new, be it a new IP or a new Infamous game.
They teased about taking their formula into a modern Ninja setting just after Infamous Second Son came out.
From what Scott Rhode has said whatever they're working on is only just beginning to be formed into a cohesive game, with some future promise, but I don't think it's really ready to be shown yet, so I'm kinda thinking it's not Spider Man, just something fresh from either the Infamous Series or a new IP, most likely the latter considering Scott kinda pointed to that being the case.
I think any new Spider Man game will likely be a movie tie-in to Homecoming, released as a Multiplat on PC, PS4 and XBox One, maybe NX in 2017 when the film releases.
Maybe Actision will have a developer work on that.
This whole Spider-Man/Sucker Punch thing seems like a bit of wishful thinking.
I guess if Sony owned the rights to publish the Spider-Man games then it would make sense for them to put the best studio they had on making a game.
Maybe it will happen, I'm just not so sure and without some kind of leak from a legit source like Shinobi602 or Verendus I'm not convinced this will happen.
E3 should be interesting this year though.