Not if the president is removed by Congress. See Article II Section 1 Clause Six.
Can you point me to the section of the Constitution where the presidential succession is laid out? Save me the hunting.
http://en.wikipedia.org/wiki/Article_Two_of_the_United_States_Constitution
I know that I read this when I was surfing through the consitution or congressional records a long time ago. Possibly at the Library of Congress or something like that. But, I really didn’t feel like searching through that again. Too late!
But that link half-way down the page you will see this:
Tyler’s precedent established that if the President’s office becomes vacant due to death, resignation or disqualification, the Vice President becomes President. The Congress may provide for a line of succession beyond the Vice President. The Presidential Succession Act establishes the order as: the Speaker of the House of Representatives, the President pro tempore of the Senate and then the fifteen Cabinet Secretaries in order of that Department’s establishment.