Yes; but why not scrap the cooler and put that money towards 16GB of RAM?
PCPartPicker part list:
https://uk.pcpartpicker.com/list/zZbKsJ
Price breakdown by merchant: https://uk.pcpartpicker.com/list/zZbKsJ/by_merchant/
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor (£185.75 @ Amazon UK)
Motherboard: MSI B150M PRO-VDH Micro ATX LGA1151 Motherboard (£60.98 @ YoYoTech)
Memory: Kingston HyperX Fury Black 16GB (2 x 8GB) DDR4-2133 Memory (£81.59 @ BT Shop)
Storage: Kingston SSDNow UV400 120GB 2.5" Solid State Drive (£45.47 @ Amazon UK)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive (£44.99 @ Eclipse Computers)
Video Card: Sapphire Radeon RX 480 4GB NITRO+ 4G Video Card (£218.98 @ BT Shop)
Case: BitFenix Nova ATX Mid Tower Case (£26.99 @ Aria PC)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply
Total: £664.75
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-12 23:06 GMT+0000
~15 euro more, gets you 16GB of RAM in lieu of 8.