I want to create a custom UIAlertView to show the view like what's in image
I want to add icons beside it a textView the text of which is clickable and opens UIWebView.
Is this possible in iPhone? I googled, but did not find how to do this.
It seems to me you are trying to create a popUp that doesnt need to be an alert.
If thats the case, this library might help:
You can create a popUp of any size, that is a normal view. So you can put any other views or controls inside it.