Is it possible to access an object's private variables using an extension method?
No. You can do the same in an extension method as in a "normal" static method in some utility class.
So this extension method
public static void SomeMethod(this string s)
{
// do something with 's'
}
is equivalent to some static helper method like this (at least regarding what you can access):
public static void SomeStringMethod(string s)
{
// do something with 's'
}
(Of course you could use some reflection in either method to access private members. But I guess that's not the point of this question.)