No, read the executive order:

the privilege of United States citizenship does not automatically extend to persons born in the United States: (1) when that person’s mother was unlawfully present in the United States and the father was not a United States citizen or lawful permanent resident at the time of said person’s birth, or (2) when that person’s mother’s presence in the United States at the time of said person’s birth was lawful but temporary (such as, but not limited to, visiting the United States under the auspices of the Visa Waiver Program or visiting on a student, work, or tourist visa) and the father was not a United States citizen or lawful permanent resident at the time of said person’s birth.

If either parent was a citizen, the children are citizens. Trump was a citizen so his kids are citizens under his new interpretation.

It could very well be. If I were a Russian psy-op, then I would post exactly stuff like this. But who knows.