Hi,
I have this bag, and use it for an MBA 11", where it fits, even when the MBA has a protecting sleeve on it. However the fit is a bit tight, especially when I also put my iPad Air next to it, but it works, and I can even close the zipper.
Now, the 2016 13" MBP is 0.4cm wider (I expect that should fit, but very tightly) and 2cm deeper, which should make it not fit in that dimension. So, if you want to close the zipper, I expect it not to fit, but if you just want to carry the laptop in the back of the bag, I would expect to work tightly.
Another suggestion (that I am using now both with MBA 11" and 2015 MBP 13") is the ONA Prince Street. But it is not large enough for DSLRs, just slim cameras (good for mirrorless or rangefinder users).