Possibly depending on the drawing template you use. If you're using the dwg format for drawings rather than idw then there is a workaround that may get what you want.
With the drawing open and saved, under the Drawing Resources folder in the drawing browser you will see the AutoCad Blocks folder.

In that folder, you will find an Autocad block representing each view on your drawing. Insert the blocks that you want mirroring into the drawing; the scale will be full size but you can RMB click the views once placed and go to Edit AutoCad Block and set the scale.
Next, RMB click on the Autocad block view and select Open In AutoCad. You'll get a warning that Inventor needs to close which is fine.

Autocad will open up your drawing where you'll be able to mirror the relevant blocks using standard AutoCAD mirror command. Don't explode the blocks though, that is important!
Save the file and close Autocad.
Reopen the drawing in Inventor and you have your mirrored views.

The great thing with this though, as long as you didn't explode the block in AutoCad when you mirrored it, is the block views are still associative to the parent so will update with the parent Inventor view

Hope that helps
Mike
Autodesk Certified Professional