I don't believe so, but the calculation wouldn't necessarily be accurate if I could do this because there could always be a hiccup in the DC1 to DC2 transaction. The best way I could think to do it would be to realize that that the content actually resides in DC2 and redirecting the user to go get it there himself.
For example, instead of having the server in DC1 go get the data from DC2, redirect the user to go get it there himself. I don't know enough about your app, but I'm thinking along the lines of for the stuff that is only in DC2, it would be in a unique folder like "http://url.site.com/specialapp/page.jsp". Tell BIG-IP to look for things in "/specialapp/" and issue a redirect to DC2 for that content. You could do this with an HTTP Class(version9.4) or iRule.