The Situation:
Alice uses an online banking website which stores a cookie of her credentials.
Before the cookie expires, Eve sends Alice a malic
Web browsers and apps do not share the same cookie store, so CSRF attacks in this manner shouldn't be possible. Apps can also use a web view, but each web view has its own cookie store [1], so a CSRF attack between two apps is also not possible.
From reading this [2], it does look like it is possible to store cookies on the file system which could be used as attack vector via another app, but not via a web browser.
[1] http://developer.appcelerator.com/question/123991/cookie-sharing-between-defaultnative-browser-and-webviews-in-an-app
[2] http://developer.android.com/reference/android/webkit/CookieManager.html