Throughout the many incarnations of Spider-Man throughout film and comics, the origin of how he shoots his webbing has had many different manifestations. Most notably, in the Sam Raimi films, Spider-Man had his webbing organically be procured through his wrists. This was later contrasted in Sony Picture’s Amazing Spider-Man film series, as the Peter Parker played by Andrew Garfield used mechanical web-shooters with cartridges.
Insomniac Games has stated that their upcoming Spider-Man title will be unique to themselves, and won’t be directly iterative of any of the film-series. However, when asked if Spider-Man would be utilizing cartridges or have the ability to organically shoot webs, Insomniac games had this to say.
Cartridge / built web shooters— Insomniac Games (@insomniacgames) June 20, 2017
While we still don’t know whether or not the game will be incorporating a system that will feature limited webbing, the door for that possibility has certainly been opened.
Spider-Man will be launching on PS4 at an undecided window in 2018.