This is possible but not exactly how you describe it. You won't be able to simply display a list "as is" to your user, but you will be able to show them which of their friends also use your application indirectly.
When you initiate a requests dialog within your application, you can pass a filter
parameter to the dialog that will only display certain users in the multi-friend selector.
Here is an extract from the description of the filter
parameter from the Requests Dialog documentation:
filter
This controls what set of friends someone sees if a multi-friend
selector is shown. Default is an empty string, which shows a
multi-friend selector that shows all friends, with filters for friends
using the same app, and friends not using it. If all
, app_users
and
app_non_users
is specified, the sender will only be able to see
friends in that list and will not be able to filter to another list.
So as this passage (quite vaguely) describes, passing a value of app_users
as the filter to the dialog will only display the user's friends that also have this application installed.
It's mostly used for in-application requests between users where one user can send gifts or perform actions on/for other users within the application.