No. Angel Island is in San Francisco Bay, off the coast of San Francisco, California—on the West Coast.
It is the largest natural island in the bay, now a state park (Angel Island State Park) with immigration station history (Ellis Island of the West), hiking, biking, and 360° bay views. Ferries run from Tiburon and San Francisco (Pier 41).
East Coast islands of similar historic note include Ellis Island (NY/NJ) and Fort Sumter (SC).