Going to be sort of close unless you leave out most of the peripherals. That is about the total cost of the CPU/Motherboard/RAM/GPU in your budget. Amazon doesn't always have the best prices. Availability of GTX970 is difficult to say the least. You might be in for a multi-week wait/pre-order.
PCPartPicker part list:
http://pcpartpicker.com/p/qK7Zqs
Price breakdown by merchant: http://pcpartpicker.com/p/qK7Zqs/by_merchant/
CPU: Intel Core i5-4690K 3.5GHz Quad-Core Processor ($229.99 @ Amazon)
Motherboard: Gigabyte GA-Z97-HD3 ATX LGA1150 Motherboard ($108.99 @ Amazon)
Memory: G.Skill Sniper Series 8GB (2 x 4GB) DDR3-1866 Memory ($91.89 @ Amazon)
Storage: Crucial MX100 128GB 2.5" Solid State Drive ($72.99 @ Amazon)
Video Card: EVGA GeForce GTX 970 4GB ACX 2.0 Video Card ($329.99 @ Amazon)
Total: $833.85
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-10-15 13:02 EDT-0400