Can My Computer Run Overwatch?

This is my System Info:
OS: Windows 10 Home 64-bit (10.0, Build 17134)
Processor: Intel® Core™ i3-3227U CPU @ 1.90GHz (4 CPUs), ~1.9GHz
Memory: 6144MB RAM ~ 6.144GB
DirectX Version: DirectX 12

You have not listed what graphics card you are running, but I am assuming so far yes. However your processor does NOT meet the recommended system requirements, only the minimum system requirements. You may be required to play the game at low settings this being the case and may experience performance issues.

Overwatch runs pretty smoothly across the board but your processor is just at the minimum requirements meaning you’ll have to run on low settings assuming you own no graphics card

You can also try this website (systemrequirementslab) and it will tell you if your pc is able to run it and if so at roughly what sort of performance