Fans of the Marvel Comics know that Marvel replaced the Ultimate Comics version of Spider-Man and Peter Parker with Miles Morales. The regular Marvel Comics universe also featured Ben Riley, the clone of Spider-Man, and a Spidey from the future with Miguel O'Hara.
So will the same happen in the movies?
The producers on the Amazing Spider-Man movies, Matt Tolmach and Avi Arad, state "no."
Avi Arad: No. The one thing you cannot do, when you have a phenomena that has stood the test of time, you have to be true to the real character inside – who is Peter Parker? What are the biggest effects on his life? Then you can draw in time, and you can consider today's world in many ways. But to have multiple ones… I don't know if you remember, but Marvel tried it. And it was almost the end of Spider-Man.
Arad continues with mention that Peter Parker will absolutely be the Spider-Man in their movies, with Tolmach adding that as long as they are involved it will be Peter Parker as well.
However, Andrew Garfield actually wouldn't mind passing the torch to Miles as he recently told CBR:
Miles Morales was a huge moment in this character's comic book life. And I do believe that we can do that. It's something I'm really interested in figuring out; an eloquent way of coexisting, or passing on the torch. I don't have an answer, but I think it's actually a really important move. I think it's a really beautiful and important move."