Lenovo Y40 Intel Core i7-4510U 14in 1080p Gaming Laptop w/ 2GB GPU
lenovo has the Lenovo IdeaPad Y40 Intel Core i7-4510U Dual-Core HASWELL 14" 1920x1080 Gaming Laptop Computer w/ 2GB Discrete Graphics
4.9lbs; 14" 1920x1080; Intel Core i7-4510U ULV 2GHz (Turbo Boost up to 3.1GHz) Dual-Core HASWELL; 8GB RAM; 1TB HDD + 8GB SSD; 802.11AC + bluetooth; Windows 8; AMD Radeon R9 M275 2GB; 4-cell battery; 1yr warranty
Yes! Definitely! Are you just showing off because those specs are pretty good (especially the i7)
Minimum System Requirements
2 GHz processor
1 GB RAM (Windows Vista and 7 users will want 2 GB of RAM or more)
8 GB available hard disk space
Shader version 2.0 capable video card
Support for DirectX v9.0c or better
Windows XP (Service Pack 2 or 3 ONLY), Windows Vista, or Windows 7
Recommended System Requirements
3 GHz processor
2 GB of RAM (Windows Vista and 7 users should use 4 GB of RAM or more.)
12 GB available hard disk space
GeForce 8800 or equivalent video card (Dedicated GPU with 512MB+ Video Memory(VRAM.
Support for DirectX v9.0c or better.
Windows XP with the latest service pack installed, Windows Vista with the latest service pack installed, or Windows 7
The latest update to.NET Framework from Microsoft
The latest version of Adobe Air is required to connect to PVP.net. Adobe Air is included with all League of Legends setup files, but can also be downloaded from Adobe's website.
I have not played League of Legends, but based on the specs recommended by the company, your PC should be able to handle it nicely.