Easily! Even a computer costing half as much would be capable of playing those games well. Note that for gaming a desktop is always recommended over a laptop. Desktop components are more powerful to begin with and a desktop of equivalent performance costs much less. Also, desktops can be upgraded later... laptops cannot.

I recommend something with a Core i7 processor and Radeon 6950 or GeForce GTX 560Ti graphics card (or better)

These are excellent gaming PCs:

http://www.aria.co.uk/Systems/Gaming+Range/Gladiator/Viper+HDK+Gaming+PC+(Sandy+Bridge+REV+B3)+?productId=44003
http://www.aria.co.uk/Systems/Gaming+Range/Gladiator/Relentless+GTK+Gaming+PC+(Sandy+Bridge+REV+B3)+?productId=43844

This one is last year's tech, but still very powerful:
http://www.ebuyer.com/product/248961

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