(Of course this happens to me with the one time I forget to save) So I was on my way to catch all the deltas that were currently in the game, one of them being Delta Bergmite. And being the idiotic person I am, I went straight into the battle without doing any research on it, and whaddaya know it learns Roar and fled. Now I usually save my game when it comes to encountering rare Pokemon, but of course I just had to forget with this specific one. Now my question is, will there ever be a way to re-encounter deltas? (Like doing the Elite Four over again) Or am I forever screwed?
I am wondering the same thing. Not because I killed them, but because I want shiny deltas but have the patience of a pebble with ADHD, so I want to be able to catch deltas when I have the shiny charm
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The deltas(other than the ones encounter-able in hidden grottos) were planned to be unique encounters, so unless the devs decide differently for 1.2 you won’t be able to catch delta bergmite again 
You can try trading for one though, some people might not care for delta bergmite.