Will my computer run Unreal Engine 4

These are my specs

Windows 10 Pro
Intel i5-5200U
Intel HD 5500
8gb Ram
120gb SSD

I am only 14 and this is my older brothers hand me down.

The system is way below the minimum requirements. Technically, you could run the engine on this but it will run like a 3 legged dog, will be prone to crashing / freezing up and dramatically limit your productivity. You will be sharing RAM with that integrated GPU chip so things will be sluggish and very hot.