I have a Swift with some Sakae randoneur drops, Big Apples, LP brakes, and Suntour barend shifters. It takes 5-8 seconds to fold, and it rides really nice. The bike shop guy much preferred it over the Dahon Speed TT.

While I ride on platforms, I second the MKS quick-release pedals if that's your think.
Only downside is that it folds sort of big, and I've been rejected from muni with it.

Sorry, back to your question. Yes it probably is possible to put drops on your bike if:
1. you can add a compatible stem.
2. you use LP brakes or ProblemSolvers (for STI)
3. you have a pair of drops, and some shifting system compatible with yours (I use barends)

-matt