Can I skip cutscenes in Far Cry 4?

No you didn't miss anything, there are no buttons/ways to skip those unskippable cutscenes.

As horrible as it sounds, you'll have to watch them over and over again whenever a bug occurs, or you can go make dinner and dance a bit too if you want.

No you can actually skip the intro :)

To do it you need a shortcut on your desktop, right click on it and select ‘Properties’. In the ‘Target’ box simply add “-skipintro” (minus the quotes) and click okay to confirm. For the Far Cry 4 intro skip to work, Far Cry 4 must be launched through the desktop executable rather than through your Uplay library.

And to skip the intro in Steam right-click Far Cry 4 in your library, then choose Properties, then go to SET LAUNCH OPTIONS:

enter '-skipintro':

and click OK

maybe bit late, but just a thought.. download a gamespeed changer, most known would be cheat engine. Set hotkeys for normal speed and a faster speed (maybe x10). if a cutscene comes on, just fast forward till you can play again. Dont know if this is a possibility.