very very possible. just re-use that's not broken like psu, memory, hd, case etc.
look at the game requirement. its not that demanding.
Minimum (targeting 30fps):
•Operating system: Windows Vista/7/ 8/10 64-bit (latest Service Pack)
•Processor: Intel Core i3 or AMD Phenom X3 865
•Video: Nvidia GeForce GTX 460, ATI Radeon HD 4850, or Intel HD Graphics 4400
•Memory: 768 MB VRAM, 4 GB System RAM
•Storage: 7200 RPM with 5 GB available HD space
Recommended (targeting 60fps on Medium settings):
•Operating system: Windows Vista/7/ 8/10 64-bit (latest Service Pack)
•Processor: Intel Core i5 or AMD Phenom II X3, 2.8 GHz
•Video: Nvidia GeForce GTX 660 or ATI Radeon HD 7950
•Memory: 2 GB VRAM, 6 GB System RAM
•Storage: 7200 RPM with 5 GB available HD space
check this good gamer build and under 1k.
http://pcpartpicker.com/b/NmsJ7P