You modify the input: the line 'string="isIsogram"' is changing your input. The string you iterate should be the one you get in the parameter.
You modify the iterated string from inside the loop: Regardless the fact that the assignment is unwanted, the location of the assignment, inside the loop that iterates the string is a (very) bad practice in general. Take care not to do that.
Algorithm efficiency (I home I'm not talking chinese here):
You iterate the string, which means the loop iterates all its characters (a total of n chars.)
Then, inside you use the built in 'count' function, which also iterates the string.
Thus, in the worst case (when the string is an isogram) your efficiency is O(n2), which is considered highly inefficient. Think of a way to improve that (you can get to O(n).)
I see several issues with your code: