seeing the video on youtube since I didn't know the game I think it can do it

Absolutely Yes! Though it'd probably not look as great.
Getting all the battle functions to look like that would take some doing. You'd probably want to use the 2D platform option as your base template in Bakin, that's the one that'd give you the better option to copy Darkest Dungeon as a whole. One area you might have an issue with is Mouse COntrol, i'm not entirely sure if they've improved that in the recent year or so but before that the mouse control function was in very early stages, or someone had done a script for it that wasn't great, can't 100% remember.

Yes, currently no way to control the Mouse Event.