Square Enix tweeted that a photo mode is "currently not planned for the release", which isn't concrete proof that we won't see one added post-release, but makes that possibility pretty unlikely.
We haven't seen too much of Just Cause 3 yet, outside of a few tantalising screenshots, butfounder Christofer Sundberg tweeted that the "countdown to many cool things have begun..." yesterday. Expect more information to drop on the open world action game soon.
It's a busy year for Avalanche, with two big open world games set to drop; Just Cause 3, and Mad Max. Together, that's probably all the exploding cars you'll need for a good long while.