Margaret,
Thanks for asking your question to planDisney!
Because the EPCOT station of the Disney Skyliner is located outside of the park's turnstiles, you absolutely can ride the Skyliner to Disney's Hollywood Studios without having to enter EPCOT, or having a theme park reservation there.
Basically, the Skyliner station at EPCOT is located just outside the International Gateway entrance to the park. You could easily walk to that station from many of the area resorts, or even ride one of the Friendship boats to the station. The dock for these boats is immediately adjacent to the Skyliner entrance. Those resorts include Disney's Yacht and Beach Club Resorts, Disney's BoardWalk Inn, and the Walt Disney World Swan and Dolphin resorts.
Naturally from there you would ride the Skyliner to Disney's Caribbean Beach Resort, change over to the Studios route, and in about 20 minutes of total "flight time" you will arrive at your destination!
BONUS TIP
Do you need an in-flight beverage service? There just happens to be a Joffrey's stand at the Caribbean Beach Skyliner station. They have tons of great coffee and tea options! It is not officially listed on the Walt Disney World website, but it is right there, just steps away from the entrance.
Please feel free to write me back directly if you have any follow-up questions.
Have a Magical Vacation!
Doug
