In the gerontocracy that is government bureaucracy and politics, pretty much. Presidents like Obama, Kennedy, and Teddy Roosevelt were "young", even "too young", just because they're in their 40's rather than their 50's or 60's. 46-year-old vice president Dan Quayle was a "kid", too. I don't think there's a single senator or governor under 35, and barely any congressmen. Likewise with the Cabinet and upper level advisors.

Don't expect anyone under 35 years old to have any impact in the government at all, ever.