Veronica,
Thanks for your question!
You absolutely can take the
Disney Skyliner around from
Disney's Hollywood Studios to
Epcot. It is not just a great way to get from one park to the other, but it is a wonderfully scenic ride.
What you will want to do is catch the Skyliner from outside the Hollywood Studios park entrance and take it to the
Disney's Caribbean Beach Resort station. That is about a 6 minute ride. You then transfer to the Skyliner route headed to Epcot, which will take about 13-14 minutes in all. This will drop you off right outside the International Gateway, by the World Showcase side of Epcot.
While it is impossible to know how long you will wait for the Skyliner either at the Hollywood Studios station, or when you transfer at the Caribbean Beach, you can assume your total trip will take you around half an hour.
DOUG'S TIP: There is a Joffrey's Coffee stand at the Caribbean Beach Skyliner station. So you can grab yourself a yummy drink mid-trip, if that is up your alley!
Have a Magical Vacation!Doug