how to swipe Mail in iOS
Apple's native mail app doesn't allow swipe to work that way on iPhone since swipes are for marking / archiving / moving or deleting by design.

On larger iOS devices - portrait mode works the same as the iPhone (non S size) but landscape mode has a navigation sidebar for navigating.

It's not a swipe, but it helps triage mails for me.

You might look at Inbox by Gmail on iOS - it has a snooze feature that could be used to swipe past mails like tinder allows you to swipe to filter and file a queue of people.