No, it is a Cabianet level appointive position.
Congress
The person would have to give up there seat in congress, but yes. Clinton just did it, she gave up her senate seat to be secretary of state
Congress approves Secretary of State.
William Seward
The role of the secretary of state in the US?
Are you interested in the email address of the US Secretary of State or the Secretary of State for a particular state?
By Act of Congress (Not the US Constitution) the President's letter of resignation goes to the US Secretary of State.
Mrs. Olivia Mandale
Appointed by the President and approved by Congress.
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Congress does not have to give approval to appoint the President's choice for Secretary of State. However, a confirmation hearing takes place before the Senate Foreign Relations Committee.
Hillary Clinton is the US Secretary of State at this date in March, 2011.