No, you can't. You can install wrappers around Safari, but you can't install any app that uses the rendering engine of Chrome, Firefox, IE, or any other browser better than Safari.
Chrome for ios is a wrapper for safari? Are you sure? Safari and chrome definitely render certain pages differently when both running on the same iOS device.
Absolutely sure. Apple is totally transparent about this being a requirement for them:
I'm also sure. At least for mobile devices. I can't speak to desktop Chrome. That's why it does the same weird rendering Safari does which has become more noticeable since the split from webkit.
There's one discernible difference between Chrome and Safari on iOS 8- try scrolling on both and you'll see that both render them differently. Much faster on Chrome and less so on Safari. Prior to iOS 8, scrolling on both browsers were very much the same.
WebKit and Safari aren't synonyms
Ah right. I had heard that and forgot about it.
They still use the safari renderer/js engine under the hood.