It should be possible to install the auto dimming mirror assuming that all you want is the interior mirror to be dimmable. It looks like there are only 5 wires to the normal (non-rear camera display) autodimming mirror, and 2 of those are for the dimmable exterior driver's mirror. The other 3 are just power, ground, and reverse. This mirror is shown on the wiring diagram as "Lane Keeping System" although this particular mirror has nothing to do with that system.
The issue that I would expect you to have is that with a manual mirror, you won't have any of these wires, so you would have to replace the roof harness (from the A-pillar on up to the roof) and I'm not sure if that harness would otherwise be acceptable for your trim level. You'd also have to remove the headliner to install it if you wanted it to match the factory installation.
The ideal way to do this (which I'm guessing a dealer won't touch) is to get the new roof harness, remove the pins for the mirror wires from the A-pillar connector, and insert them back in the connector on your existing harness (assuming the other side of these terminals is populated). This would essentially just be adding the mirror pigtail to your roof harness.