Yes. Jessica Drew would be easy to introduce and you could work a spinoff with her eventually. The symbiote could be in a cage somewhere around the facility, too, and end up bonding with Peter at some point. The story possibilities are all ones that would support Marvel's film push.
I would not, however, include Oscorp. A back to basics approach with the Osborns would be better for the franchise, I think, with Norman being a businessman and Harry being Peter's friend in high school. Iirc the goblin formula was a later development. Lets keep it that way.