fileInput from deployed folder

I'm trying to allow a user to select a file using 'fileInput' from a subfolder in a deployed app. Is this possible? When I run the app in, the fileInput widget allows me to choose from files on my local PC, but not from a subdirectory in the deployed app. So, if my app directory looks like the following, can the user select a file in the Data folder? Thanks,

----- ./App_Directory/
---------- app.R
---------- function1.R
---------- function2.R
---------- /Data/
---------------- file1.csv
---------------- file2.csv
---------------- file3.csv