No, they cannot pull you over for Speeding. Traffic violations are only covered under local and state law, not federal. Secret Services agents can only investigate violations of federal law. They could pull you over for “acting suspicious” as there are federal laws on terrorism, murder, drugs, etc. read more
The Secret Service DOES NOT determine who qualifies for protection, nor is the Secret Service empowered to independently initiate candidate protection. Under 18 U.S.C.' 3056(a)(7),"[m]ajor Presidential and Vice Presidental candidates," as identified by the Secretary of Homeland Security, are eligible for Secret Service protection. read more