Whether you have the SFF as pictured or an MT, no.  GTX 960 is 120w.  Max power draw for MT is 75w, and I think 50w for the DT & SFF.  If you have an MT, you could upgrade the PSU. A few other options for DT & SFF: [IMAGE] [IMAGE]  
This pc has an Intel i3-2100 @ 3.1 GHz, is it possible to replace the existing video/graphics card with the  Nvidia GeForce 960 GTX 2 GB video/graphics card in this older pc. I keep it around for some older apps.
upgrade existing video/graphics card?