Unfortunately, no. I can share with you what I found on my quest to try to cure the Calling, though, and I believe Mordin Solus was interested in investigating the matter as well. I'll happily give up whatever bits of blood or hair or whatever else will help. Generally speaking, a Warden gets thirty years at most from their Joining before the Calling takes them. As Bethany and Alistair and I have been Wardens during a Blight and thus faced the Darkspawn more frequently, we likely have less than that - and all three of us have been at it ten years or more already.