Soil/ peat improvers

Can you use raised beds or hugelkultur planting to raise the plants above the saturated layer? The roots would still be able to penetrate down but they'd avoid getting permanently waterlogged.
It looks like a really interesting conundrum! What do your neighbours do?

I’ll be doing the raised beds for the veggie garden. But for the rest of the garden……….? Neighbours one side don’t garden , it’s a holiday let . Neighbours the other side are just out of the bog but they still struggle.

“Just out of the bog” made me smile. 
did you mean “just out of the Stone Age, just out of the loo - or geographically speaking?”