There currently is not an in game way to delete them, but you can delete the files.
%appdata%\..\LocalLow\RalivDev\Archipelagates\saves
(Pasting into your windows explorer will take you right to the save files)
Love save files. ^.^
Staring out, after first getting into town, my guy Gilly is all decked out in some of the games finest. All matching. Is a good looking guy, ready for adventure.
How ready?
6 levels of extra heath.
A Sword - at 155 - strong at +12, Choker - at 166, Gloves - at 160, Codpiece - at 978 (mighty giant war-hammer proof ^.^), Boots - at 489. And more gold than should ever be normal - two slots of gold worth 9999, and one at 7037.
And an unseen starter 9999 pre-colected energy. That should get a few portal levels open. ^.^
I know what some might be thinking, "Cheat much. >.>"
And that be a yes.