If PE is your career goal, why not (but then you'll have to deal with, as the guy above has mentioned, answering why you'll go to business school unless you work in that industry for another few years first to understand it).
If it isn't, then this might not make sense to an admissions office. I may not have been able to get into business school had I done a stint in PE, for instance, since it completely doesn't jive with my career goals.