That PC is more then powerful enough to box 5 comfortably. I have nearly the same setup, with a 1080 instead of the 1070 ti, but those cards are very close.

32GB of ram is plenty. I used to box 8 on the same setup, and had to lower the graphics to get it running smoothly, but with 5, I keep the main set to 7, and the rest to 4, with view distance maxed out.

I used to run the same setup on a older 6 core, the 6800K and that ran fine as well.