No, it does not.
The Gulf of Mexico is southeast from California.
The Manhattan project was located in Los Alamos, New Mexico.
It depends on your current location. From Florida? To the west. From California? To the east. From Illinois? To the south.
It is in the south-center of Mexico. See the related links for such location in a Map.
The state of Guerrero is located in southern Mexico, having shores along the Pacific Ocean.
Illinois is closer to Canada than to Mexico.
Illinois does not border the Gulf of Mexico. Illinois borders Lake Michigan.
Havana, capital of the island-nation of Cuba, is located east of Mexico City, at a bearing of 73.7° east-northeast.
In a southwest direction.
There are Hancock Banks located in West Virginia, Ohio, Minnesota, New Hamshire, Florida, Illinois, Kentucky, Maine, Colorado, Texas, and New Mexico.
Mexico City is already on central Mexico. If you mean direction to the actual geographical center of Mexico, it would be to the northwest of the city.