Air Force One does. I dunno about the ground motorcade, though.

And I'm sure that the E-4 does too.

kagis

https://en.wikipedia.org/wiki/Boeing_E-4

The Boeing E-4 Advanced Airborne Command Post (AACP), the current "Nightwatch" aircraft,[2] is a series of strategic command and control military aircraft operated by the United States Air Force (USAF). The E-4 series are specially modified from the Boeing 747-200B for the National Emergency Airborne Command Post (NEACP) program.[3]

The E-4 serves as a survivable mobile command post for the National Command Authority, namely the President of the United States, the Secretary of Defense, and successors. The four E-4s are operated by the 1st Airborne Command and Control Squadron of the 595th Command and Control Group located at Offutt Air Force Base, near Omaha, Nebraska. An E-4 when in action is denoted a "National Airborne Operations Center" (NAOC) and has been nicknamed the "Doomsday plane".[4]

When the President travels outside of North America using a VC-25A as Air Force One, an E-4B will deploy to a second airport in the vicinity of the President's destination, to be readily available in the event of a world crisis or an emergency that renders the VC-25A unusable.[citation needed] When President Barack Obama visited Honolulu, Hawaii, an E-4B was often stationed 200 miles away at Hilo International Airport on Hawaii Island.[28][29]