No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once.

No. It makes no difference whether the two terms are consecutive. This amendment also makes it clear that if Vice President Al Gore had taken over for President Clinton during the first two years of Clinton's first term, then he would have only been allowed to run once more.