No—Honolulu is farther west.
Despite Juneau being on the North American mainland and Honolulu in the mid-Pacific, Honolulu lies ~23° further west. The Aleutian Islands (e.g., Attu at 173° E) are the true westernmost U.S. points, but among major cities, Honolulu wins.
Fun fact: Juneau is farther east than Honolulu—and even farther east than Los Angeles (118° W).