You sure can, by opening the route on your App and clicking on the arrow icon.
Sygic for Android.
Navigon and Sygic for iPhone.
I suggest reading the following article:
It explains how to use seasonal closures in your routes!
I would like the ability to plan a route through a mountain pass in advance. Currently it won't let me plot the route if the road is closed,
Hi Tim Deeming,
I've noted your suggestion! First we have to finish up the 'bigger picture' of MRA. Afterwards we might add features like these.