Is there a way for a young person, say in her 20s, to get EMBA from an institution like Harvard?
That’s not the intended audience for the program.
Many EMBA program have a minimum years of professional work experience (and leadership experience) requirement to be eligible for the program (I think Harvard is 10 to 15 years?). This is to allow the network to yield meaningful business relationships with business leaders.
Of course, a normal MBA programs is also an option.
The E in EMBA stands for Executive. They are looking for applicants who are already business executives.