Add a Chooser to application for users authorized account.

I'm wondering if it would be possible to add a Chooser for an account the user has allowed acces to with OAuth2.  

After a user grants permission to access their account I would like to allow them to select a file from their account. Currenlty,  I can enter a file name which exists in the account and use the API to "getTempLink" or other information. However, instead of entering a name of a file from memory I would like the user to be able to select a file from their account. 

Seems this would be possible but so far I am unable to find a way to do it. 

Thanks