It might do it, but I would look at a 750w psu myself to push two of those cards.
Here's a build that's in your budget that I posted on here earlier today that you might want to look at.
This build down below gives you a decent mobo, decent case w/3.0 usb ports, after market h/s (thermal paste included, Windows 7, and a chance to add another one of those factory o/c gtx 560's later on for SLI.
http://www.amazon.com/Cooler-Master-Enforcer-Interior-S... $79.99 & this item ships for FREE with Super Saver Shipping
Cooler Master Storm Enforcer USB 3.0 Mid Tower ATX Case with Window and Black Interior (SGC-1000-KWN1)
http://www.newegg.com/Product/Product.aspx?Item=N82E168... $99.99 - $69.99 after mail-in rebate FREE SHIPPING
Antec High Current Gamer Series HCG-750 750W ATX12V v2.3 / EPS12V v2.91 SLI Certified CrossFire Certified 80 PLUS BRONZE Certified Active PFC Power Supply
http://www.superbiiz.com/detail.php?name=MB-68A3HB3&tit... $124.99 Free Shipping
GIGABYTE GA-Z68A-D3H-B3 Socket 1155/ Intel Z68/ DDR3/ ATI CrossFireX & nVidia SLI/ SATA3&USB3.0/ A&GbE/ ATX Motherboard
http://www.newegg.com/Product/ComboDealDetails.aspx?Ite... $454.98 $20.00 Mail-In Rebate Card Price After Mail-In Rebate(s): $434.98 FREE SHIPPING
Intel Core i5-2500K Sandy Bridge 3.3GHz (3.7GHz Turbo Boost) LGA 1155 95W Quad-Core Desktop Processor BX80623I52500K
MSI N560GTX-TI Twin Frozr II/OC GeForce GTX 560 Ti (Fermi) 1GB 256-bit GDDR5 PCI Express 2.0 x16 HDCP Ready SLI Support Video Card
http://www.amazon.com/gp/product/B002G1YPH0/ref=ox_sc_a... $29.51 & this item ships for FREE with Super Saver Shipping
Cooler Master Hyper 212 Plus 120mm Sleeve CPU Cooler, RR-B10-212P-G1
http://www.newegg.com/Product/Product.aspx?Item=N82E168... $40.99 FREE SHIPPING
Mushkin Enhanced Silverline 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model 996946
http://www.amazon.com/Samsung-Spinpoint-3-5-Inch-Intern... $59.99 & this item ships for FREE with Super Saver Shipping
Samsung Desktop Class Spinpoint F3 1 TB SATA 3.0 Gb-s 32 MB Cache 3.5-Inch Internal Bare-OEM Drives, HD103SJ
http://www.newegg.com/Product/Product.aspx?Item=N82E168... $19.99 FREE SHIPPING
ASUS 24X DVD Burner - Bulk 24X DVD+R 8X DVD+RW 12X DVD+R DL 24X DVD-R 6X DVD-RW 16X DVD-ROM 48X CD-R 32X CD-RW 48X CD-ROM Black SATA Model DRW-24B1ST/BLK/B/AS - OEM
http://www.newegg.com/Product/Product.aspx?Item=N82E168... $94.99 FREE SHIPPING
Microsoft Windows 7 Home Premium SP1 64-bit - OEM
Total: $1,005.42 - $955.42 after mail in rebates
http://www.anandtech.com/bench/Product/102?vs=288 <----- AMD Phenom II X4 965 BE vs Intel Core i5 2500K
http://www.bit-tech.net/hardware/graphics/2011/01/27/ms... <------ MSI N560GTX-Ti Twin Frozr II/OC Review / Benchmarks
http://www.coolermaster-usa.com/product.php?category_id... <----- CM Storm Enforcer w/pics, specs, and professional reviews
http://www.newegg.com/Product/Product.aspx?Item=N82E168... <---- That's the same mobo as up above with pics, specs, and reviews
That case comes with the option to add another 200mm fan to it.
http://www.amazon.com/Cooler-Master-Computer-Cooling-R4... $14.31 & eligible for FREE Super Saver Shipping on orders over $25
Cooler Master Computer Case Cooling R4-LUS-07AR-GP Red LED 200mm Case Fan