Unless Trump has turned his back on Art. II, §1, cl. 5 natural-born citizen clause, Vivek Ramaswamy cannot stand for either the presidency or the vice-presidency. That also includes Nikki Haley and Tulsi Gabbard,
Who knows, Trump might be willing to turn his back on Art. II, §1, cl. 5 since it means only his daughter Tiffany is the only true natural-born U.S. Citizen among all his siblings.
There is no formal definition for Natural Born Citizen
https://www.law.cornell.edu/wex/natural_born_citizen
Post Obama, the constitution is largely a museum piece.
He was born in Cincinnati, OH.