No, "whom" is the objective form, and in this context, it functions as the object of the verb "is asking."
Or to look at it another way, a valid answer to the question would be "I am asking," or "she is asking," or "they are asking," all of which are subjects. It would be incorrect to answer "her is asking." He/she/they/who are a group, and Him/her/them/whom are a group.