No, the Constitution requires a "natural born" citizen. You are a natural born citizen if a) you are born here in the borders of the United States; or b) if you are born outside of the United States to at least one parent who was a US citizen at the time of your birth, and that parent had resided within the US for a specified period of time after a certain age. Since Ted's mom was a US citizen who had lived in the US most of her life, he is a citizen by birth - i.e. a natural born citizen.
By the way, the residency requirement is included because citizenship for those born to citizens outside the US only to the first generation. In other words, if I moved to Canada and had children, my children would be US citizens. If my kids continued to live in Canada and had children there, their children would not be US Citizens, even though they themselves were US citizens, UNLESS my children moved back to the US and lived here for a specified period of time prior to their children being born...
OK, thank you. I stand corrected