Is there a highway that goes up the west coast of Mexico?

Yes. Mexico Federal Highway 1, or simply Highway 1, is a federal highway in Mexico that runs along the Pacific Ocean from Tijuana in the north to Cabo San Lucas in the south. The highway is approximately 1,650 miles long and passes through the states of Baja California, Sinaloa, Nayarit, Jalisco, Colima, Michoacán, Guerrero, Oaxaca, and Chiapas.