Can my laptop run The Sims 4

I would go to canyourunit.com (or just google "canyourunit")and look for The Sims 4 on the list of games. You can do a quick check to see if your PC meets the minimum requirements or not.

Posting your whole specs would be more useful

To gather a DxDiag on your computer, please follow the steps here: http://answers.ea.com/t5/The-Sims-3/HOW-TO-DxDiag-for-Sims-3-PC-Only/td-p/1049584/

Please either use pastebin.com and put the link here or use spoiler tags.