I think you're going to run into issues quickly with that machine. You can upgrade your graphics card, but...
•You're probably going to need a better power supply to power it.
•The new graphics card and power supply may not physically fit in that case.
•The rest of your hardware might become a problem. Is your CPU capable of running games at an acceptable performance level? Do you have enough RAM?
That said, with your current system,
this card is probably your best shot. It's miles faster than your current GT630, and takes no external power connector (like your GT630) so you won't need to upgrade your power supply. Judging from your picture, it looks like you should probably have room for the cooler this card has, but it's tough to say from this angle. Just make sure you've got a little more room to go before you start hitting that shroud over your CPU cooler before you buy.