Can secretary of state run for president?

Thomas Jefferson was Secy of State in the George Washington Presidency from (1790-93) went on to become the 2nd VP & the 3rd Pres of the US .Till date 7 Secy of State has become President of the US. James Monroe served twice as Secy of State & once as Secy of War once from (1811-1817) under the 4th Pres and he succeeded Monroe as the 5th President on March 4,1817-1825 for 2 terms.