Janie vs Don't Look Back in Anger?!
Not so sure about that.
Destination Anywhere was in the process of being written in late 95, early 96. Jon's lyrics were stolen in Feb 96 (I asked him if he had got them back when I met him March) so I'm pretty sure he'd have got to work on it before Don't Look Back was released.
However, the Oasis single was released while Jon was in the UK filming the Leading Man, so there's a minute possibility that he picked up on it.

To be honest though, you could look at most music and start saying it sounds like someone else's work.
There's a limit on the number of chords in existence, so eventually over time things will start to replicate a little.