There won't be a problem with his case, but there might with his PSU. What brand and model is it? The low-end CM PSUs are almost universally overrated near-junk. Any default PSU installed by Cyberpower is also likely low-quality, although they do provide some decent upgrade options (if you chose one when you bought it).
A GTX650Ti Boost needs a single six-pin PCIe power cable. A 380W-430W Antec Earthwatts or a 450W Rosewill Capstone would be good choices.
The GT610 isn't a gaming card, so this upgrade will make a huge difference. If your budget is limited, even a HD7770 (now <= $100) will be a good upgrade if dropping back is needed in order to afford the PSU.