I would have my doubts there it`s a custom case.
So it may mean that the dimensions of the Atx power supply are non standard.
If I had to be honest if you intend to fit a new Gtx 970 card, you will also need a new power supply.
If the tower style of case, I would be Dubious if all the new parts would fit in the case with adequate cooling,
A flat desktop I would not bother with, serious fitting and space problems again poor cooling.
Better off buying a new case with enough room for the new parts, plus more options and space to add more hardware later.