The premise contains a geographic error. The United States and Mexico share a land border of 3,145 km (1,954 mi) from the Pacific to the Gulf of Mexico. You can walk across at legal ports of entry (pedestrian lanes exist at San Ysidro, Otay Mesa, Nogales, El Paso, Laredo, Brownsville, etc.).
It cited the “Gulf of Mexico” as a barrier. The Gulf lies at the eastern terminus of the border (Brownsville/Matamoros). The Rio Grande / Río Bravo forms the boundary there—crossable by bridge.
Border fence/wall segments vary; at urban crossings the walk from U.S. sidewalk to Mexican sidewalk is 50–200 meters. In remote areas, no legal crossing exists—do not attempt.