In a word, no. There is no consensus on swipe actions in apps. To illustrate the lack of consensus, here's a quick list of some applications of swipe actions:
(When I say "swipe right", I mean swiping from left to right.)
- Android notifications: both left and right for dismissing
- Android recents: both left and right for dismissing
- Android wear: swipe left for actions, swipe right to dismiss
- Inbox: left to snooze, right to mark as done
- Tinder: left to reject, right to like
- Yahoo Mail: left to delete, right to mark as read (it's also customizable)
Gestures are generally hard to discover, so they have to be taught and there should be discoverable alternatives for getting to the same features in case the user forgets. (Android's swipe to dismiss for notifications is a special case, as this is a system feature a person will use very frequently and thus is unlikely to forget.) Even Tinder, famous for its swipe gestures, has like and dislike buttons.
There are affordances you can use to help users learn or remember gestures. Lock screen swipe gestures provide good examples. Android uses small icons on sides of its lock screen to indicate what swiping left and right does. In older versions, it used a radiating animation to encourage a user to swipe outwards from a circle. iOS has long used an arrow, a text label, and a repeating animation to indicate how to swipe to unlock. Windows Phone used an animation (not sure what it uses now).
So, if you'd like to implement gestures, make sure to 1) teach them and 2) allow a way to discover them. To reduce cognitive load, you can choose a popular app in the same category (or outside it) and duplicate its gestures, or just one of them. There are no standards yet, but copying what others do creates standards.
Additionally, try to reduce errors and avoid destructive or hard-to-recover actions -- "archive" is always better than "delete". Also, don't introduce swipe gestures where they might conflict with "parent" swipes -- e.g. Android's swipe to switch tabs or iOS's swipe to go back.