Can You See the Sun Rise on the East Coast from the West Coast?

No. The Earth's curvature makes this impossible. The planet is a sphere (technically an oblate spheroid). At any moment, only half the globe faces the Sun. The "terminator" (day/night line) sweeps across the surface at about 1,000 mph at the equator.

Even from a tall mountain on the West Coast, the horizon is only ~200–300 km away. The East Coast is ~4,500 km distant. The bulk of the Earth blocks the view entirely. You would need to be in low Earth orbit (~400 km altitude) to see both coasts simultaneously—and even then, only the terminator line, not a "sunrise" in the traditional sense.

So, enjoy your local sunrise. The one on the other coast already happened ~3 hours ago (or hasn't happened yet, depending on season and time zones).