Hi Amanda! I'm going to assume that by privacy curtains you mean over the window in each room? If not, please come back and let me know and I'll be happy to answer again. :) To answer that question, yes, every room at Disney's Pop Century resort has both sheer curtains for a little privacy and then heavier curtains that will block out almost all of the light from the windows and make it virtually impossible to see into your room.
If by chance you mean curtains
within the room to separate one bed from another or the beds from the rest of the room, then no, there are not. If you are looking for a bit more room or privacy while staying in the Value resort category, you may want to check out the Family Suites which are only available at Disney's
All-Star Music Resort right now. They feature two connecting rooms, one set up like a living room with a couch and chair, both of which turn into beds, a bathroom, tv with dresser and table with chairs. The second room features a queen bed, second bathroom and a kitchenette with microwave, sink, mini fridge and coffee maker. It's a nice option for larger families looking to stick to a budget.
I hope this answers your question, if not, we're here to help with any further questions. Happy planning!
~Suzannah