No. Because if Ted Cruz was alive, and in the country back then, he would have been a British subject like Pres. Washington.
Ok, disregard this post...
5.56mm
“a natural born citizen, or a citizen of the United States, at the time of the adoption of this Constitution.”
In other words, there was an exception for George Washington and the other Founders, who were born before the Constitution was written and confirmed. No one was born an American before then.
I presume you know that, and were joking.