Can you play Metal Gear Rising at 1600x900?

There are preset resolutions. After 1333x768 there is 1680x1050.
But this mod should help you https://steamcommunity.com/app/235460/discussions/0/619574421437011967/
(All I did is google "mgr custom resolution", this is first result and people seem to confirm it works)

Also remember this, when using the fix:

You have to re-select the resolution each time you boot up the game. It's annoying, but it's due to the way the game tries to autodetect the resolution on the display list it should use. (i.e., if you use 1600x900 and boot up in that resolution, the game will try to cap it to the next lowest resolution, 1366x768)