I think you misunderstand, Chrome in iOS isn't real chrome because it's based from Safari Core which is part of the rules to develop browser by Apple.
No custom browsers are allowed without safari core in iOS, there an exception, you can upload a picture using Filechooser, there are 2 options: take a photo from webcam or image library.
For example: This is possible using Filechooser
I don't think real time webcam would work in iOS browser until a wrapper app or native app.