Someone above said that there is no builtin way to perform this, but that's not entirely true. For an example, you could take a look at the pylons debugging tools. Whene there is an exception, the exception handler saves the stack trace and prints a URL on the console that can be used to retrieve the debugging session over HTTP.
While they're probably keeping these sessions in memory, they're just python objects, so there's nothing to stop you from pickling a stack dump and restoring it later for inspection. It would mean some changes to the app, but it should be possible...
After some research, it turns out the relevant code is actually coming from Paste's EvalException module. You should be able to look there to figure out what you need.