Is there anyway I can add a link to a flash file I post on my wall using the rest/graph api, such that when a user clicks on the flash file playing, it takes them to my app?
Thanks.
I don't know if you still require this , But here is the solution to what you are seeking: 
Use the Feed dialog , and specify in the link parameter the URL of your APP , and in the source parameter , the URL of the flash file you want to post.
Link within flash file posted on facebook wall possible?